Chapter 8 Quiz Review

Adding and Subtracting Polynomials

100

Simplify.

(y²+2y+3) + (y²+3y-1)

2y²+5y+2

200

Simplify.

(x+4)+(3x+2x²-7)

2x²+4x-3

300

Simplify.

(5d+d²)-(4-4d²)

5d²+5d-4

400

Simplify.

(3a-3b+2)-(4a+5b)

-a-8b+2

500

Simplify.

(3n³-2n+7)-(n²-2n+8)

3n³-n²-1

Multiply a Polynomial by a Monomial

100

Find the product.

6y(y²+3y+1)

6y³+18y²+6y

200

Find the product.

d²(-4-3d+2d²)

2d⁴-3d³-4d²

300

Find the product.

-2xy(3x²+2xy-4y²)

-6x³y-4x²y²+8xy³

400

Find the product.

ab²(12a+5b-ab)

-a²b³+12a²b²+5ab³

500

Find the product.

x²y⁴(3xy²-x+2y²)

3x³y⁶+2x²y⁶-x³y⁴

Multiply Polynomials

100

Find the product.

(x+2)(x+5)

x²+7x+10

200

Find the product.

(n-5)(n+3)

n²-2n-15

300

Find the product.

(4c-2)(c+2)

4c²+6c-4

400

Find the product.

(k-1)(k-k³)

-3k³+4k²-k

500

Find the product.

(8d-3)(2d²+d+1)

16d³+2d²+5d-3

Special Products

100

Find the product.

(x+2)²

x²+4x+4

200

Find the product.

(6c+3)²

36c²+36c+9

300

Find the product.

(n-11)²

n²-22n+121

400

Find the product.

(4b-2)²

16b²-16b+4

500

Find the product.

(5d-3)(5d+3)

25d²-9

Factoring Polynomials

100

Factor.

30v+50x

10(3v+5x)

200

Factor.

5c²v-15c²v²+5c²v³

5c²v(1-3v+v²)

300

Factor.

2m³p²-16mp²+8mp

2mp(m²p-8p+4)

400

Factor by grouping.

24ty-18t+4y-3

(6t+1)(4y-3)

500

Factor by grouping.

16gh+24g-2h-3

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