Unit 6 Review

Classifying Polynomials

1

Number of terms in the expression 2x³-4x²+20x-17

What is 4?

2

The lead term of the standard form of the expression: 

2x²-4x⁴+3x-16

what is -4x⁴?

3

Classify 4x⁴ +2x³+10x-4x⁴+16 by terms and degree

What is a Cubic Trinomial?

4

Standard form of 10x⁴-5x+12x+3x³+21

What is 10x⁴+3x³+7x+21?

5

Classify (3x⁵-6x²+3x+50)-(10x⁴+20-x+3x²) by terms and degree

What is Quintic polynomial with 5 terms?

Adding and Subtracting

1

(x+3)+(2x-1)

What is 3x+2?

2

(2x⁴+3x²+4x-5)-(5x³+6x²+10x-11) Simplified

What is 2x⁴-5x³-3x²-6x+6?

3

W (4x³+3x²+5x-23)-(2x²+3x+7) and (7x³-10x²+11x+16)+(-3x³+11x²-4x+20) have these term(s) in common

What are 4x³ and x²?

4

Perimeter of a rectangle with a width of 5x²+3x+2 and a length of 2x-3

What is 10x²+10x-2?

5

Side 2 of a triangle if the perimeter is 6x³+4x²+14x-14 and the remaining sides are (3x³+6x²+7x-20) and (x³-2x²+x-2)

What is 2x³+6x+8?

Multiplying

1

Product of 2x(x³+3x-1)

What is 2x⁴+6x²-2x?

2

Product of (3x-2)(2x+5)

What is 6x²+11x-10?

3

Product of (2x+7)(x³+2x²-8x+10)

What is 2x⁴+11x³-2x²-36x+70?

4

Standard form of -3x(5x-12)+(x-2)²

What is -14x²-4x+40?

5

Area of a rectangle with a length of (4x+5) and a width of (3x-8)

What is 12x²-17x-40?

Dividing

1

Quotient of 8x⁴ divided by 2x

What is 4x³?

2

Quotient of x³+2x²-15x divided by (x-3)

What is (x+5)

3

(x³+5x²-3x-4) divided by (x+6)

What is x²-x+3 remainder: -22

4

(True/false) (x²-3) is a factor of x⁴-2x³-6x²+18x-27  

False 

5

Length of a rectangle if the area is (x³-2x²-37x+78) and the width is (x-6)

What is x²+4x-13?

Factoring/solving

1

GCF of 16x⁴-2x³+4x²

What is 2x²?

2

Factored form of (4x²-81)

What is (2x-9)(2x+9)

3

factored form of (27x³+343)

What is (3x+7)(9x²-21x+49)?

4

factored form x⁴-2x³+8x-16

What is (x-2)(x+8)(x²-8x+64)?

5

Solutions to x²-2x=63

What is -7 and 9?