Chapter 8 Review: Polynomials

Operations

100

Find the sum.

(5a² - 4) + (a² - 2a + 12) + (4a² - 6a + 8)

10a² - 8a + 16

200

Find the product.

(2n² + 3n - 6)(5n² - 2n - 8)

10n⁴ + 11n³ - 52n² - 12n + 48

300

Find the product.

(8h - 4n)²

64h² - 64hn + 16n²

400

Find the product.

(7z² + 5y²)(7z² - 5y²)

49z⁴ - 25y⁴

500

Find the product.

((3/4)k + 8)²

(9/16)k² + 12k + 64

Distributive Property/Factor by Grouping

100

Factor the polynomial.

30v + 50x

10(3v + 5x)

200

Factor the polynomial.

hj - 2h + 5j - 10

(h + 5)(j - 2)

300

Factor the polynomial.

5gf² + g²f + 15gf

gf (5f + g + 15)

400

Factor the polynomial.

16gh + 24g - 2h -3

(8g - 1)(2h + 3)

500

Solve the equation.

(8z + 4)(5z + 10) = 0

-(1/2), -2

Trinomials

100

Factor the polynomial.

x² + 17x + 42

(x + 3)(x + 14)

200

Factor the polynomial.

n² - 2n - 35

(n - 7)(n + 5)

300

Solve the equation.

x² - 7x + 12 = 0

3, 4

400

Solve the equation.

d² + 56 = -18d

-4, -14

500

A rectangle has an area represented by x² - 4x - 12 square feet. If the length is x + 2 feet, what is the width of the rectangle?

(x - 6) ft

Difference of Squares

100

Factor the polynomial.

q² - 121

(q + 11)(q - 11)

200

Factor the polynomial.

2c² - 32d²

2 (c + 4d)(c - 4d)

300

Factor the polynomial.

7h⁴ - 7p⁴

7 (h² + p²)(h + p)(h - p)

400

Factor the polynomial.

3x³ + x² - 75x - 25

(x + 5)(x - 5)(3x + 1)

500

Solve the equation.

4a² = (9/64)

(3/16), -(3/16)

Perfect Squares

100

Factor the polynomial.

24d² + 39d - 18

3 (8d - 3)(d + 2)

200

Factor the polynomial.

16a² - 121b²

(4a - 11b)(4a + 11b)

300

Factor the polynomial.

8x² + 10x - 21

Prime

400

Solve the equation.

(y - 4)² = 7

4 +/- sqrt(7) OR 6.65, 1.35

500

Factor the polynomial.

4c⁴d - 10c³d + 4c²d³ - 10cd³

2cd (c² + d²)(2c - 5)