Lesson 8

8-1

100

Find the degree of the monomial. 9b³c²

The degree is 5

200

Simplify. 9n²-7n²

2n²

300

Write the polynomial in standard form. x²+2-2x

x²-2x+2

400

Classify the polynomial. 9z⁴-3z²-5z

Fourth degree trinomial

500

(2x²-9x+6)+(9x³-9x)

9x³+2x²-18x+6

8-2

100

Factor. 14x²-49x

7x(2x-7)

200

Multiply. 2x⁴(2x+5)

4x⁵+10x⁴

300

-2y⁴(6y²+7y-7)

-12y⁶-14y⁵+14y⁴

400

14x⁵+28x²+35x

7x(2x⁴+4x+5)

500

11x³y³+33x⁵y

11x³y(y²+3x²)

8-3

100

Simplify. (x+6)(x+8)

x²+14x+48

200

(2x+2)(2x²+x-5)

4x³+6x²-8x-10

300

(7x³+6)(5x³-9)

35x⁶-33x³-54

400

(3y+5)(3y²+y-6)

9y³+18y²-13y-30

500

The radius of a cylindrical gift box is (3x+2) inches. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form.

54πx²+72πx+24π

8-4

100

(x-6)²

x²-12x+36

200

(4x-8)(4x+8)

16x²-64

300

(2x-9)²

4x²-36x+81

400

(8x+y)²

64x²+16xy+y²

500

(x+4y)²

x²+8xy+16y²

8-5

100

x²+15x+44

(x+11)(x+4)

200

x²+14x+45

(x+9)(x+5)

300

n²-26n+88

(n-22)(n-4)

400

s²+6sz+9z²

(s+3z)(s+3z)

500

t²-td-72d²

(t-9d)(t+8d)