Exam 6: Factoring Polynomials

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $25 x ^ { 3 } y ^ { 4 } + 35 x ^ { 2 } y ^ { 5 } + 12 x y ^ { 6 }$

(Multiple Choice)

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Question 21

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $8 z ^ { 2 } + 6 z - 9$

(Multiple Choice)

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Question 22

Factor the polynomial using the greatest common binomial factor. - $14 ( y + 10 ) - x ( y + 10 )$

(Multiple Choice)

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Question 23

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $36 x ^ { 2 } + 21 x y + 3 y ^ { 2 }$

(Multiple Choice)

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Question 24

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $3 x ^ { 2 } + 13 x - 20$

(Multiple Choice)

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Question 25

Factor the polynomial using the greatest common binomial factor. - $x ( x - 5 ) + 11 ( x - 5 )$

(Multiple Choice)

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Question 26

Factor completely. If unfactorable, indicate that the polynomial is prime. -(a + b)x² - 4(a + b)x - 60(a + b)

(Multiple Choice)

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Question 27

Write a polynomial for the width of the rectangle. -Write a polynomial for the width of the rectangle.

(Multiple Choice)

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Question 28

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $- 12 x ^ { 2 } - 10 x + 12$

(Multiple Choice)

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Question 29

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $9 y ^ { 2 } + 18 y + 8$

(Multiple Choice)

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Question 30

Find the greatest common factor of the monomials. - $64 x ^ { 8 } y ^ { 4 }$ and $88 x ^ { 5 } y ^ { 8 }$

(Multiple Choice)

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Question 31

Solve the problem. -The length and area of the rectangle are given. Express the width as a binomial.

(Multiple Choice)

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Question 32

Factor the polynomial using the greatest common binomial factor. - $x ^ { 2 } ( x - 7 ) - 2 ( x - 7 )$

(Multiple Choice)

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Question 33

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $6 x ^ { 2 } - 5 x t - 4 t ^ { 2 }$

(Multiple Choice)

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Question 34

Factor the polynomial using the negative of the greatest common factor. - $- 28 a ^ { 2 } b ^ { 3 } + 12 a b$

(Multiple Choice)

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Question 35

Factor the polynomial using the negative of the greatest common factor. - $- 14 a ^ { 3 } b ^ { 2 } - 21 a b$

(Multiple Choice)

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Question 36

Factor the polynomial using the negative of the greatest common factor. - $- 5 x ^ { 4 } - 15 x ^ { 3 } + 10 x ^ { 2 }$

(Multiple Choice)

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Question 37

Factor by grouping. - $12 x ^ { 2 } + 15 x y - 8 x y - 10 y ^ { 2 }$

(Multiple Choice)

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Question 38

Find the greatest common factor of the monomials. - $2 x ^ { 2 }$ and 12

(Multiple Choice)

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Question 39

Factor the polynomial using the greatest common binomial factor. - $x ( y - 8 ) - 4 ( y - 8 )$

(Multiple Choice)

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Question 40

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $25 x ^ { 3 } y ^ { 4 } + 35 x ^ { 2 } y ^ { 5 } + 12 x y ^ { 6 }$

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $8 z ^ { 2 } + 6 z - 9$

Factor the polynomial using the greatest common binomial factor. - $14 ( y + 10 ) - x ( y + 10 )$

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $36 x ^ { 2 } + 21 x y + 3 y ^ { 2 }$

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $3 x ^ { 2 } + 13 x - 20$

Factor the polynomial using the greatest common binomial factor. - $x ( x - 5 ) + 11 ( x - 5 )$

Factor completely. If unfactorable, indicate that the polynomial is prime. -(a + b)x² - 4(a + b)x - 60(a + b)

Write a polynomial for the width of the rectangle. -Write a polynomial for the width of the rectangle.

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $- 12 x ^ { 2 } - 10 x + 12$

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $9 y ^ { 2 } + 18 y + 8$

Find the greatest common factor of the monomials. - $64 x ^ { 8 } y ^ { 4 }$ and $88 x ^ { 5 } y ^ { 8 }$

Solve the problem. -The length and area of the rectangle are given. Express the width as a binomial.

Factor the polynomial using the greatest common binomial factor. - $x ^ { 2 } ( x - 7 ) - 2 ( x - 7 )$

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $6 x ^ { 2 } - 5 x t - 4 t ^ { 2 }$

Factor the polynomial using the negative of the greatest common factor. - $- 28 a ^ { 2 } b ^ { 3 } + 12 a b$

Factor the polynomial using the negative of the greatest common factor. - $- 14 a ^ { 3 } b ^ { 2 } - 21 a b$

Factor the polynomial using the negative of the greatest common factor. - $- 5 x ^ { 4 } - 15 x ^ { 3 } + 10 x ^ { 2 }$

Factor by grouping. - $12 x ^ { 2 } + 15 x y - 8 x y - 10 y ^ { 2 }$

Find the greatest common factor of the monomials. - $2 x ^ { 2 }$ and 12

Factor the polynomial using the greatest common binomial factor. - $x ( y - 8 ) - 4 ( y - 8 )$

Variables, Real Numbers, and Mathematical Models

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Rational Expressions

Basics of Functions

Inequalities and Problem Solving

Radicals, Radical Functions, and Rational Exponents

Filters

Exam 6: Factoring Polynomials

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - 25x3y4+35x2y5+12xy625 x ^ { 3 } y ^ { 4 } + 35 x ^ { 2 } y ^ { 5 } + 12 x y ^ { 6 }25x3y4+35x2y5+12xy6

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - 8z2+6z−98 z ^ { 2 } + 6 z - 98z2+6z−9

Factor the polynomial using the greatest common binomial factor. - 14(y+10)−x(y+10)14 ( y + 10 ) - x ( y + 10 )14(y+10)−x(y+10)

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - 36x2+21xy+3y236 x ^ { 2 } + 21 x y + 3 y ^ { 2 }36x2+21xy+3y2

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - 3x2+13x−203 x ^ { 2 } + 13 x - 203x2+13x−20

Factor the polynomial using the greatest common binomial factor. - x(x−5)+11(x−5)x ( x - 5 ) + 11 ( x - 5 )x(x−5)+11(x−5)

Factor completely. If unfactorable, indicate that the polynomial is prime. -(a + b)x2 - 4(a + b)x - 60(a + b)

Write a polynomial for the width of the rectangle. -Write a polynomial for the width of the rectangle.

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - −12x2−10x+12- 12 x ^ { 2 } - 10 x + 12−12x2−10x+12

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - 9y2+18y+89 y ^ { 2 } + 18 y + 89y2+18y+8

Find the greatest common factor of the monomials. - 64x8y464 x ^ { 8 } y ^ { 4 }64x8y4 and 88x5y888 x ^ { 5 } y ^ { 8 }88x5y8

Solve the problem. -The length and area of the rectangle are given. Express the width as a binomial.

Factor the polynomial using the greatest common binomial factor. - x2(x−7)−2(x−7)x ^ { 2 } ( x - 7 ) - 2 ( x - 7 )x2(x−7)−2(x−7)

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - 6x2−5xt−4t26 x ^ { 2 } - 5 x t - 4 t ^ { 2 }6x2−5xt−4t2

Factor the polynomial using the negative of the greatest common factor. - −28a2b3+12ab- 28 a ^ { 2 } b ^ { 3 } + 12 a b−28a2b3+12ab

Factor the polynomial using the negative of the greatest common factor. - −14a3b2−21ab- 14 a ^ { 3 } b ^ { 2 } - 21 a b−14a3b2−21ab

Factor the polynomial using the negative of the greatest common factor. - −5x4−15x3+10x2- 5 x ^ { 4 } - 15 x ^ { 3 } + 10 x ^ { 2 }−5x4−15x3+10x2

Factor by grouping. - 12x2+15xy−8xy−10y212 x ^ { 2 } + 15 x y - 8 x y - 10 y ^ { 2 }12x2+15xy−8xy−10y2

Find the greatest common factor of the monomials. - 2x22 x ^ { 2 }2x2 and 12

Factor the polynomial using the greatest common binomial factor. - x(y−8)−4(y−8)x ( y - 8 ) - 4 ( y - 8 )x(y−8)−4(y−8)

Variables, Real Numbers, and Mathematical Models

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Rational Expressions

Basics of Functions

Inequalities and Problem Solving

Radicals, Radical Functions, and Rational Exponents

Filters

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $25 x ^ { 3 } y ^ { 4 } + 35 x ^ { 2 } y ^ { 5 } + 12 x y ^ { 6 }$

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $8 z ^ { 2 } + 6 z - 9$

Factor the polynomial using the greatest common binomial factor. - $14 ( y + 10 ) - x ( y + 10 )$

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $36 x ^ { 2 } + 21 x y + 3 y ^ { 2 }$

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $3 x ^ { 2 } + 13 x - 20$

Factor the polynomial using the greatest common binomial factor. - $x ( x - 5 ) + 11 ( x - 5 )$

Factor completely. If unfactorable, indicate that the polynomial is prime. -(a + b)x² - 4(a + b)x - 60(a + b)

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $- 12 x ^ { 2 } - 10 x + 12$

Factor completely using the trial and error method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $9 y ^ { 2 } + 18 y + 8$

Find the greatest common factor of the monomials. - $64 x ^ { 8 } y ^ { 4 }$ and $88 x ^ { 5 } y ^ { 8 }$

Factor the polynomial using the greatest common binomial factor. - $x ^ { 2 } ( x - 7 ) - 2 ( x - 7 )$

Factor completely using the grouping method to factor trinomials. If unfactorable, indicate that the polynomial is prime. - $6 x ^ { 2 } - 5 x t - 4 t ^ { 2 }$

Factor the polynomial using the negative of the greatest common factor. - $- 28 a ^ { 2 } b ^ { 3 } + 12 a b$

Factor the polynomial using the negative of the greatest common factor. - $- 14 a ^ { 3 } b ^ { 2 } - 21 a b$

Factor the polynomial using the negative of the greatest common factor. - $- 5 x ^ { 4 } - 15 x ^ { 3 } + 10 x ^ { 2 }$

Factor by grouping. - $12 x ^ { 2 } + 15 x y - 8 x y - 10 y ^ { 2 }$

Find the greatest common factor of the monomials. - $2 x ^ { 2 }$ and 12

Factor the polynomial using the greatest common binomial factor. - $x ( y - 8 ) - 4 ( y - 8 )$