Module 4 Review

End Behavior

100

Find the end behavior of the function:

f(x)=3x²

x-->∞, f(x)-->∞

x-->-∞, f(x)-->∞

200

Find the end behavior of f(x)=7x³

x-->∞, f(x)-->∞

x-->-∞, f(x)-->-∞

300

Find the end behavior of f(x)=-2x⁴

x-->∞, f(x)-->-∞

x-->-∞, f(x)-->-∞

400

State the degree and leading coefficient of:

f(x)=-9x³+4x⁵-7x²+x-9

Degree: 4

Leading coefficient: 5

500

State the degree and leading coefficient of:

f(x)=x⁵+6x⁴-7x+3

Then, describe the end behavior.

Degree: 5

LC: 1

EB: 

x-->∞, f(x)-->∞

x-->-∞, f(x)-->-∞

Sums and Differences of Polynomials

100

Find the sum of:
(x²+3x-2)+(x²+2)

2x²+3x

200

Find the difference of

(3x³+x²-7x+3)-(x³+x²+x-5)

2x³-8x+8

300

Find the sum of

(x³-3x²+4)+(2x³+x²-8)

3x³-2x²-4

400

Find the difference of

(x³+2x²-8x+4)-(2x³-2x²+3x+3)

-x³+4x²-11x+1

500

Find the sum of

(x⁵+3x⁴+7x²-3x+9)+(2x⁵-x⁴+3x³-2x+4)

3x⁵+2x⁴+3x³+7x²-5x+13

Multiplication and Division of Polynomials

100

What is the simplified form of

(2x²+4)(x+6)

2x³+12x²+4x+24

200

What is the simplified form of

(6x³-9x²+12)÷(3x²)

2x-3+12/3x²

300

What is the simplified form of

(x³+2x²+3x)(x²+2x)

x⁵+4x⁴+7x³+6x²

400

What is the simplified form of

(14x⁴y²+7x²y³)÷(7xy²)

2x³+xy

500

What is the simplified form of

(4x³y+3x²+y²)(3xy²⁾

12x⁴y³+9x³y²+3xy⁴

Synthetic Division

100

Find the quotient of

(2x²+6x-20)÷(x-2)

=2x+10

200

Find the quotient of

(3x³-7x-60)÷(x-3)

3x²+9x+20

300

Find the quotient of

(2x³-3x²+16x-4)÷(x+1)

2x²-5x+21-25/x+1

400

Find the quotient of

(6x²-12x+14)÷(2x-8)

3x+6+31/x-4

500

Find the quotient of

(x⁴-x²+4x-60)÷(x+3)

x³-3x²+8x+20-120/x+3