Question 1

Write the following number in scientific notation. 0.00326

Accepted Answer

The answer of Write the following number in scientific notation....

Question 2

Find $( x + 9 ) ^ { 3 }$ . Don t forget that $( x + 9 ) ^ { 3 }$ means ( x + 9)( x + 9)( x + 9).

Accepted Answer

A)  $x ^ { 3 } + 27 x ^ { 2 } + 81 x + 729$ 
B)  $x ^ { 3 } + 27 x ^ { 2 } + 243 x + 729$ 
C)  $x ^ { 3 } + 9 x ^ { 2 } + 81 x + 729$ 
D)  $x ^ { 3 } + 27 x ^ { 2 } + 243 x + 81$ 
E)  $x ^ { 3 } + 9 x ^ { 2 } + 81 x + 81$ 
A)  $x ^ { 3 } + 27 x ^ { 2 } + 81 x + 729$ 
B)  $x ^ { 3 } + 27 x ^ { 2 } + 243 x + 729$ 
C)  $x ^ { 3 } + 9 x ^ { 2 } + 81 x + 729$ 
D)  $x ^ { 3 } + 27 x ^ { 2 } + 243 x + 81$ 
E)  $x ^ { 3 } + 9 x ^ { 2 } + 81 x + 81$

Question 3

A trinomial divided by a monomial will have two terms in the quotient.

Accepted Answer

A) True 
 B)False

Question 4

Divide the polynomial by the monomial. $\frac { 72 x ^ { 14 } + 72 x ^ { 10 } + 24 x ^ { 19 } } { 8 x ^ { 2 } }$

Accepted Answer

A)  $9 x ^ { 14 } + 9 x ^ { 8 } + 3 x ^ { 17 }$ 
B)  $9 x ^ { 12 } + 9 x ^ { 8 } + 3 x ^ { 17 }$ 
C)  $9 x ^ { 12 } + 9 x ^ { 10 } + 3 x ^ { 18 }$ 
D)  $9 x ^ { 12 } + 9 x ^ { 8 } + 3 x ^ { 19 }$ 
E)  $9 x ^ { 12 } + 9 x ^ { 10 } + 3 x ^ { 19 }$ 
A)  $9 x ^ { 14 } + 9 x ^ { 8 } + 3 x ^ { 17 }$ 
B)  $9 x ^ { 12 } + 9 x ^ { 8 } + 3 x ^ { 17 }$ 
C)  $9 x ^ { 12 } + 9 x ^ { 10 } + 3 x ^ { 18 }$ 
D)  $9 x ^ { 12 } + 9 x ^ { 8 } + 3 x ^ { 19 }$ 
E)  $9 x ^ { 12 } + 9 x ^ { 10 } + 3 x ^ { 19 }$

Question 5

Perform the division. $\left( y ^ { 3 } - 8 \right) \div ( y - 2 )$

Accepted Answer

A)  $y ^ { 2 } + 2 y - 4$ 
B)  $y ^ { 2 } + 2 y + 8$ 
C)  $y ^ { 2 } - 2 y + 4$ 
D)  $y ^ { 2 } - 2 y$ 
E)  $y ^ { 2 } + 2 y + 4$ 
A)  $y ^ { 2 } + 2 y - 4$ 
B)  $y ^ { 2 } + 2 y + 8$ 
C)  $y ^ { 2 } - 2 y + 4$ 
D)  $y ^ { 2 } - 2 y$ 
E)  $y ^ { 2 } + 2 y + 4$

Question 6

Add the polynomials. $3 y + 9 \text { and } 12 y + 3$

Accepted Answer

A)  12 y + 15 
B)  15 y + 12 
C)  27 y + 12 
A)  12 y + 15 
B)  15 y + 12 
C)  27 y + 12

Question 7

Perform the division. $\left( 3 x ^ { 3 } + 14 x ^ { 2 } - 25 x - 6 \right) \div ( x + 6 )$

Accepted Answer

The answer of Perform the division. \(\left( 3 x ^...

Question 8

Use one of the appropriate patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$ ; $( a - b ) ^ { 2 } = a ^ { 2 } - 2 a b + b ^ { 2 }$ ; $( a + b ) ( a - b ) = a ^ { 2 } - b ^ { 2 }$ to find the following product. $( 3 + 9 n ) ( 3 - 9 n )$

Accepted Answer

The answer of Use one of the appropriate patterns \((...

Question 9

Multiply the following. $\left( - 3 a b ^ { 4 } c \right) \left( 13 a ^ { 2 } c \right)$ Enter your answer as $k a ^ { p } b ^ { q } c ^ { r }$ where k , p , q , r are numbers and a , b , c are variables.

Accepted Answer

The answer of Multiply the following. \(\left( - 3 a...

Question 10

The degree of the polynomial is the sum of all the exponents.

Accepted Answer

A) True 
 B)False

Question 11

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.

Accepted Answer

A) True 
 B)False

Question 12

To insert a power in the dividend, use a coefficient of 0.

Accepted Answer

A) True 
 B)False

Question 13

Subtract the polynomials using a horizontal format. $9 z + 13 \text { from } 6 z + 3$

Accepted Answer

A)  $3 z - 10$ 
B)  $- 3 z + 10$ 
C)  $- 3 z - 10$ 
D)  $3 z + 10$ 
A)  $3 z - 10$ 
B)  $- 3 z + 10$ 
C)  $- 3 z - 10$ 
D)  $3 z + 10$

Question 14

Perform the indicated operations and simplify. $\left( - 4 x ^ { 2 } y ^ { 2 } \right) ^ { 3 } \left( - x y ^ { 5 } \right) ^ { 5 }$

Accepted Answer

A)  $64 x ^ { 11 } y ^ { - 19 }$ 
B)  $64 x ^ { 10 } y ^ { 11 }$ 
C)  $- 64 x ^ { 10 } y ^ { 30 }$ 
D)  $- 64 x ^ { 11 } y ^ { 31 }$ 
E)  $64 x ^ { 11 } y ^ { 31 }$ 
A)  $64 x ^ { 11 } y ^ { - 19 }$ 
B)  $64 x ^ { 10 } y ^ { 11 }$ 
C)  $- 64 x ^ { 10 } y ^ { 30 }$ 
D)  $- 64 x ^ { 11 } y ^ { 31 }$ 
E)  $64 x ^ { 11 } y ^ { 31 }$

Question 15

Remove the parentheses by multiplying and then simplify by combining similar terms. $8 x \left( x ^ { 2 } - 4 x - 4 \right) + x \left( 7 x ^ { 2 } + 4 x - 5 \right)$

Accepted Answer

A)  $15 x ^ { 3 } - 28 x ^ { 2 } - 39 x$ 
B)  $15 x ^ { 3 } - 28 x ^ { 2 } - 37 x$ 
C)  $15 x ^ { 3 } - 30 x ^ { 2 } - 38 x$ 
D)  $16 x ^ { 3 } - 30 x ^ { 2 } - 37 x$ 
E)  $16 x ^ { 3 } - 28 x ^ { 2 } - 37 x$ 
A)  $15 x ^ { 3 } - 28 x ^ { 2 } - 39 x$ 
B)  $15 x ^ { 3 } - 28 x ^ { 2 } - 37 x$ 
C)  $15 x ^ { 3 } - 30 x ^ { 2 } - 38 x$ 
D)  $16 x ^ { 3 } - 30 x ^ { 2 } - 37 x$ 
E)  $16 x ^ { 3 } - 28 x ^ { 2 } - 37 x$

Question 16

Add the polynomials. $7 x + 8 \text { and } 15 x + 2$

Accepted Answer

A)  10 x + 22 
B)  22 x + 32 
C)  32 x + 22 
D)  22 x + 10 
E)  32 x + 10 
A)  10 x + 22 
B)  22 x + 32 
C)  32 x + 22 
D)  22 x + 10 
E)  32 x + 10

Question 17

The numerical coefficient of xy is 0.

Accepted Answer

A) True 
 B)False

Question 18

Remove the parentheses by multiplying and then simplify by combining similar terms. $7 ( x + 7 y ) + 2 ( 4 x + 8 y )$

Accepted Answer

A)  15 x + 65 y 
B)  17 x + 63 y 
C)  14 x + 65 y 
D)  14 x + 70 y 
E)  15 x + 70 y 
A)  15 x + 65 y 
B)  17 x + 63 y 
C)  14 x + 65 y 
D)  14 x + 70 y 
E)  15 x + 70 y

Question 19

Perform the division. $\left( x ^ { 3 } - 8 \right) \div ( x - 2 )$

Accepted Answer

The answer of Perform the division. \(\left( x ^ {...

Question 20

The distributive property along with the properties of exonents form a basis for finding the product of a monomial and a polynomial.

Accepted Answer

A) True 
 B)False

Write the following number in scientific notation. 0.00326

Find $( x + 9 ) ^ { 3 }$ . Don t forget that $( x + 9 ) ^ { 3 }$ means ( x + 9)( x + 9)( x + 9).

A trinomial divided by a monomial will have two terms in the quotient.

Divide the polynomial by the monomial. $\frac { 72 x ^ { 14 } + 72 x ^ { 10 } + 24 x ^ { 19 } } { 8 x ^ { 2 } }$

Perform the division. $\left( y ^ { 3 } - 8 \right) \div ( y - 2 )$

Add the polynomials. $3 y + 9 \text { and } 12 y + 3$

Perform the division. $\left( 3 x ^ { 3 } + 14 x ^ { 2 } - 25 x - 6 \right) \div ( x + 6 )$

Use one of the appropriate patterns $( a + b ) ^ { 2 } = a ^ { 2 } + 2 a b + b ^ { 2 }$ ; $( a - b ) ^ { 2 } = a ^ { 2 } - 2 a b + b ^ { 2 }$ ; $( a + b ) ( a - b ) = a ^ { 2 } - b ^ { 2 }$ to find the following product. $( 3 + 9 n ) ( 3 - 9 n )$

Multiply the following. $\left( - 3 a b ^ { 4 } c \right) \left( 13 a ^ { 2 } c \right)$ Enter your answer as $k a ^ { p } b ^ { q } c ^ { r }$ where k , p , q , r are numbers and a , b , c are variables.

The degree of the polynomial is the sum of all the exponents.

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.

To insert a power in the dividend, use a coefficient of 0.

Subtract the polynomials using a horizontal format. $9 z + 13 \text { from } 6 z + 3$

Perform the indicated operations and simplify. $\left( - 4 x ^ { 2 } y ^ { 2 } \right) ^ { 3 } \left( - x y ^ { 5 } \right) ^ { 5 }$

Remove the parentheses by multiplying and then simplify by combining similar terms. $8 x \left( x ^ { 2 } - 4 x - 4 \right) + x \left( 7 x ^ { 2 } + 4 x - 5 \right)$

Add the polynomials. $7 x + 8 \text { and } 15 x + 2$

The numerical coefficient of xy is 0.

Remove the parentheses by multiplying and then simplify by combining similar terms. $7 ( x + 7 y ) + 2 ( 4 x + 8 y )$

Perform the division. $\left( x ^ { 3 } - 8 \right) \div ( x - 2 )$

The distributive property along with the properties of exonents form a basis for finding the product of a monomial and a polynomial.

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 6: Exponents and Polynomials

Write the following number in scientific notation. 0.00326

Find (x+9)3( x + 9 ) ^ { 3 }(x+9)3 . Don t forget that (x+9)3( x + 9 ) ^ { 3 }(x+9)3 means ( x + 9)( x + 9)( x + 9).

A trinomial divided by a monomial will have two terms in the quotient.

Divide the polynomial by the monomial. 72x14+72x10+24x198x2\frac { 72 x ^ { 14 } + 72 x ^ { 10 } + 24 x ^ { 19 } } { 8 x ^ { 2 } }8x272x14+72x10+24x19​

Perform the division. (y3−8)÷(y−2)\left( y ^ { 3 } - 8 \right) \div ( y - 2 )(y3−8)÷(y−2)

Add the polynomials. 3y+9 and 12y+33 y + 9 \text { and } 12 y + 33y+9 and 12y+3

Perform the division. (3x3+14x2−25x−6)÷(x+6)\left( 3 x ^ { 3 } + 14 x ^ { 2 } - 25 x - 6 \right) \div ( x + 6 )(3x3+14x2−25x−6)÷(x+6)

Multiply the following. (−3ab4c)(13a2c)\left( - 3 a b ^ { 4 } c \right) \left( 13 a ^ { 2 } c \right)(−3ab4c)(13a2c) Enter your answer as kapbqcrk a ^ { p } b ^ { q } c ^ { r }kapbqcr where k , p , q , r are numbers and a , b , c are variables.

The degree of the polynomial is the sum of all the exponents.

To divide a polynomial by a monomial, divide each term of the polynomial by the monomial.

To insert a power in the dividend, use a coefficient of 0.

Subtract the polynomials using a horizontal format. 9z+13 from 6z+39 z + 13 \text { from } 6 z + 39z+13 from 6z+3

Perform the indicated operations and simplify. (−4x2y2)3(−xy5)5\left( - 4 x ^ { 2 } y ^ { 2 } \right) ^ { 3 } \left( - x y ^ { 5 } \right) ^ { 5 }(−4x2y2)3(−xy5)5

Remove the parentheses by multiplying and then simplify by combining similar terms. 8x(x2−4x−4)+x(7x2+4x−5)8 x \left( x ^ { 2 } - 4 x - 4 \right) + x \left( 7 x ^ { 2 } + 4 x - 5 \right)8x(x2−4x−4)+x(7x2+4x−5)

Add the polynomials. 7x+8 and 15x+27 x + 8 \text { and } 15 x + 27x+8 and 15x+2

The numerical coefficient of xy is 0.

Remove the parentheses by multiplying and then simplify by combining similar terms. 7(x+7y)+2(4x+8y)7 ( x + 7 y ) + 2 ( 4 x + 8 y )7(x+7y)+2(4x+8y)

Perform the division. (x3−8)÷(x−2)\left( x ^ { 3 } - 8 \right) \div ( x - 2 )(x3−8)÷(x−2)

The distributive property along with the properties of exonents form a basis for finding the product of a monomial and a polynomial.

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Find $( x + 9 ) ^ { 3 }$ . Don t forget that $( x + 9 ) ^ { 3 }$ means ( x + 9)( x + 9)( x + 9).

Divide the polynomial by the monomial. $\frac { 72 x ^ { 14 } + 72 x ^ { 10 } + 24 x ^ { 19 } } { 8 x ^ { 2 } }$

Perform the division. $\left( y ^ { 3 } - 8 \right) \div ( y - 2 )$

Add the polynomials. $3 y + 9 \text { and } 12 y + 3$

Perform the division. $\left( 3 x ^ { 3 } + 14 x ^ { 2 } - 25 x - 6 \right) \div ( x + 6 )$

Multiply the following. $\left( - 3 a b ^ { 4 } c \right) \left( 13 a ^ { 2 } c \right)$ Enter your answer as $k a ^ { p } b ^ { q } c ^ { r }$ where k , p , q , r are numbers and a , b , c are variables.

Subtract the polynomials using a horizontal format. $9 z + 13 \text { from } 6 z + 3$

Perform the indicated operations and simplify. $\left( - 4 x ^ { 2 } y ^ { 2 } \right) ^ { 3 } \left( - x y ^ { 5 } \right) ^ { 5 }$

Remove the parentheses by multiplying and then simplify by combining similar terms. $8 x \left( x ^ { 2 } - 4 x - 4 \right) + x \left( 7 x ^ { 2 } + 4 x - 5 \right)$

Add the polynomials. $7 x + 8 \text { and } 15 x + 2$

Remove the parentheses by multiplying and then simplify by combining similar terms. $7 ( x + 7 y ) + 2 ( 4 x + 8 y )$

Perform the division. $\left( x ^ { 3 } - 8 \right) \div ( x - 2 )$