Question 1

Perform the division and find the remainder. $\left( 24 y ^ { 2 } + 14 y - 63 \right) \div ( 4 y + 7 )$ Remainder: __________

Accepted Answer

The answer of Perform the division and find the remainder....

Question 2

Find $( 2 x - 8 ) ^ { 3 }$ . Don t forget that $( 2 x - 8 ) ^ { 3 }$ means (2 x - 8)(2 x - 8)(2 x - 8).

Accepted Answer

A)  $8 x ^ { 3 } - 48 x ^ { 2 } + 384 x + 512$ 
B)  $8 x ^ { 3 } - 96 x ^ { 2 } + 384 x + 64$ 
C)  $8 x ^ { 3 } - 96 x ^ { 2 } + 128 x - 512$ 
D)  $8 x ^ { 3 } - 32 x ^ { 2 } + 384 x - 512$ 
E)  $8 x ^ { 3 } - 96 x ^ { 2 } + 384 x - 512$ 
A)  $8 x ^ { 3 } - 48 x ^ { 2 } + 384 x + 512$ 
B)  $8 x ^ { 3 } - 96 x ^ { 2 } + 384 x + 64$ 
C)  $8 x ^ { 3 } - 96 x ^ { 2 } + 128 x - 512$ 
D)  $8 x ^ { 3 } - 32 x ^ { 2 } + 384 x - 512$ 
E)  $8 x ^ { 3 } - 96 x ^ { 2 } + 384 x - 512$

Question 3

Perform the division. $\left( x ^ { 2 } + 16 x + 48 \right) \div ( x + 4 )$

Accepted Answer

A)  x $-$ 12 
B)  12 $-$ x 
C)  4 x $-$ 12 
D)  4 x + 12 
E)  x + 12 
A)  x $-$ 12 
B)  12 $-$ x 
C)  4 x $-$ 12 
D)  4 x + 12 
E)  x + 12

Question 4

Perform the indicated operations. $\left( x ^ { 2 } - 4 x - 7 \right) + \left( 9 x ^ { 2 } - 7 x - 7 \right) - \left( 7 x ^ { 2 } - 3 x - 5 \right)$

Accepted Answer

The answer of Perform the indicated operations. \(\left( x ^...

Question 5

Find the product. $\left( 2 x ^ { n } \right) \left( 3 x ^ { 4 n } \right)$ Assume that the variables in the exponents represent positive integers; for example, $\left( x ^ { 2 n } \right) \left( x ^ { 4 n } \right) = x ^ { 2 n + 4 n } = x ^ { 6 n }$ .

Accepted Answer

A)  $5 x ^ { 3 n }$ 
B)  $6 x ^ { 5 n }$ 
C)  $6 x ^ { 3 n }$ 
D)  $5 x ^ { 5 n }$ 
E)  $6 x ^ { 7 n }$ 
A)  $5 x ^ { 3 n }$ 
B)  $6 x ^ { 5 n }$ 
C)  $6 x ^ { 3 n }$ 
D)  $5 x ^ { 5 n }$ 
E)  $6 x ^ { 7 n }$

Question 6

Perform the division of the polynomials by monomials. $\frac { 99 y ^ { 3 } b ^ { 6 } - 110 y ^ { 13 } b ^ { 14 } + 33 y ^ { 18 } b ^ { 16 } } { - 11 y b ^ { 3 } }$

Accepted Answer

The answer of Perform the division of the polynomials by...

Question 7

Perform the division. $\left( x ^ { 2 } + 8 x - 20 \right) \div ( x - 2 )$

Accepted Answer

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

Question 8

Subtract the polynomials using a vertical format. $- 2 z - 7 \text { from } 9 z + 1$

Accepted Answer

A)  $7 z + 8$ 
B)  $7 z - 8$ 
C)  $- 11 z + 8$ 
D)  $11 z + 8$ 
E)  $11 z - 8$ 
A)  $7 z + 8$ 
B)  $7 z - 8$ 
C)  $- 11 z + 8$ 
D)  $11 z + 8$ 
E)  $11 z - 8$

Question 9

Divide the polynomial by the monomial. $\frac { 80 x ^ { 8 } c ^ { 10 } + 48 x ^ { 12 } c ^ { 12 } } { 8 x ^ { 4 } c ^ { 4 } }$

Accepted Answer

A)  $10 x ^ { 4 } c ^ { 6 } + 6 x ^ { 8 } c ^ { 8 }$ 
B)  $10 x ^ { 4 } c ^ { 6 } + 6 x ^ { 10 } c ^ { 9 }$ 
C)  $10 x ^ { 4 } c ^ { 7 } + 6 x ^ { 8 } c ^ { 9 }$ 
D)  $10 x ^ { 4 } c ^ { 7 } + 6 x ^ { 11 } c ^ { 8 }$ 
E)  $10 x ^ { 4 } c ^ { 6 } + 6 x ^ { 9 } c ^ { 8 }$ 
A)  $10 x ^ { 4 } c ^ { 6 } + 6 x ^ { 8 } c ^ { 8 }$ 
B)  $10 x ^ { 4 } c ^ { 6 } + 6 x ^ { 10 } c ^ { 9 }$ 
C)  $10 x ^ { 4 } c ^ { 7 } + 6 x ^ { 8 } c ^ { 9 }$ 
D)  $10 x ^ { 4 } c ^ { 7 } + 6 x ^ { 11 } c ^ { 8 }$ 
E)  $10 x ^ { 4 } c ^ { 6 } + 6 x ^ { 9 } c ^ { 8 }$

Question 10

Use scientific notation and the properties of exponents to evaluate the following numerical expression. (0.006)(140) Enter your answer as a decimal.

Accepted Answer

The answer of Use scientific notation and the properties of...

Perform the division and find the remainder. $\left( 24 y ^ { 2 } + 14 y - 63 \right) \div ( 4 y + 7 )$ Remainder: __________

Find $( 2 x - 8 ) ^ { 3 }$ . Don t forget that $( 2 x - 8 ) ^ { 3 }$ means (2 x - 8)(2 x - 8)(2 x - 8).

Perform the division. $\left( x ^ { 2 } + 16 x + 48 \right) \div ( x + 4 )$

Perform the indicated operations. $\left( x ^ { 2 } - 4 x - 7 \right) + \left( 9 x ^ { 2 } - 7 x - 7 \right) - \left( 7 x ^ { 2 } - 3 x - 5 \right)$

Find the product. $\left( 2 x ^ { n } \right) \left( 3 x ^ { 4 n } \right)$ Assume that the variables in the exponents represent positive integers; for example, $\left( x ^ { 2 n } \right) \left( x ^ { 4 n } \right) = x ^ { 2 n + 4 n } = x ^ { 6 n }$ .

Perform the division of the polynomials by monomials. $\frac { 99 y ^ { 3 } b ^ { 6 } - 110 y ^ { 13 } b ^ { 14 } + 33 y ^ { 18 } b ^ { 16 } } { - 11 y b ^ { 3 } }$

Perform the division. $\left( x ^ { 2 } + 8 x - 20 \right) \div ( x - 2 )$

Subtract the polynomials using a vertical format. $- 2 z - 7 \text { from } 9 z + 1$

Divide the polynomial by the monomial. $\frac { 80 x ^ { 8 } c ^ { 10 } + 48 x ^ { 12 } c ^ { 12 } } { 8 x ^ { 4 } c ^ { 4 } }$

Use scientific notation and the properties of exponents to evaluate the following numerical expression. (0.006)(140) Enter your answer as a decimal.

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

Perform the division and find the remainder. (24y2+14y−63)÷(4y+7)\left( 24 y ^ { 2 } + 14 y - 63 \right) \div ( 4 y + 7 )(24y2+14y−63)÷(4y+7) Remainder: __________

Find (2x−8)3( 2 x - 8 ) ^ { 3 }(2x−8)3 . Don t forget that (2x−8)3( 2 x - 8 ) ^ { 3 }(2x−8)3 means (2 x - 8)(2 x - 8)(2 x - 8).

Perform the division. (x2+16x+48)÷(x+4)\left( x ^ { 2 } + 16 x + 48 \right) \div ( x + 4 )(x2+16x+48)÷(x+4)

Perform the indicated operations. (x2−4x−7)+(9x2−7x−7)−(7x2−3x−5)\left( x ^ { 2 } - 4 x - 7 \right) + \left( 9 x ^ { 2 } - 7 x - 7 \right) - \left( 7 x ^ { 2 } - 3 x - 5 \right)(x2−4x−7)+(9x2−7x−7)−(7x2−3x−5)

Perform the division of the polynomials by monomials. 99y3b6−110y13b14+33y18b16−11yb3\frac { 99 y ^ { 3 } b ^ { 6 } - 110 y ^ { 13 } b ^ { 14 } + 33 y ^ { 18 } b ^ { 16 } } { - 11 y b ^ { 3 } }−11yb399y3b6−110y13b14+33y18b16​

Perform the division. (x2+8x−20)÷(x−2)\left( x ^ { 2 } + 8 x - 20 \right) \div ( x - 2 )(x2+8x−20)÷(x−2)

Subtract the polynomials using a vertical format. −2z−7 from 9z+1- 2 z - 7 \text { from } 9 z + 1−2z−7 from 9z+1

Divide the polynomial by the monomial. 80x8c10+48x12c128x4c4\frac { 80 x ^ { 8 } c ^ { 10 } + 48 x ^ { 12 } c ^ { 12 } } { 8 x ^ { 4 } c ^ { 4 } }8x4c480x8c10+48x12c12​

Use scientific notation and the properties of exponents to evaluate the following numerical expression. (0.006)(140) Enter your answer as a decimal.

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

Perform the division and find the remainder. $\left( 24 y ^ { 2 } + 14 y - 63 \right) \div ( 4 y + 7 )$ Remainder: __________

Find $( 2 x - 8 ) ^ { 3 }$ . Don t forget that $( 2 x - 8 ) ^ { 3 }$ means (2 x - 8)(2 x - 8)(2 x - 8).

Perform the division. $\left( x ^ { 2 } + 16 x + 48 \right) \div ( x + 4 )$

Perform the indicated operations. $\left( x ^ { 2 } - 4 x - 7 \right) + \left( 9 x ^ { 2 } - 7 x - 7 \right) - \left( 7 x ^ { 2 } - 3 x - 5 \right)$

Perform the division of the polynomials by monomials. $\frac { 99 y ^ { 3 } b ^ { 6 } - 110 y ^ { 13 } b ^ { 14 } + 33 y ^ { 18 } b ^ { 16 } } { - 11 y b ^ { 3 } }$

Perform the division. $\left( x ^ { 2 } + 8 x - 20 \right) \div ( x - 2 )$

Subtract the polynomials using a vertical format. $- 2 z - 7 \text { from } 9 z + 1$

Divide the polynomial by the monomial. $\frac { 80 x ^ { 8 } c ^ { 10 } + 48 x ^ { 12 } c ^ { 12 } } { 8 x ^ { 4 } c ^ { 4 } }$