Unit 7 Polynomials Review

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³)

t³ +3t² +7t -3

500

Add the polynomials:

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Multiplying Polynomials

100

Multiply the Polynomials:

(x-1)(x+2)

x²+x-2

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Multiply the Polynomials:

(4n - 1)(3n + 4)

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(4d + 1)

4d²+13d+3

Factoring GCF

100

Factor out the GCF

2x² - 8x

2x(x+4)

200

Factor out the GCF

6x-42

6(x-7)

300

Factor out the GCF

5a³+15a²

5a²(a+3)

400

Factor out the GCF

21x³-35x²

7x²(3x-5)

500

Factor out the GCF.

24x⁴+28x²

4x²(6x²+7)

Classifying Polynomials

100

What is the degree of this polynomial?

3x³+5x+1

Degree = 3

200

What is the leading coefficient of this polynomial:

-4x²-3x+10

Leading coefficient = -4

300

Write this Polynomial in Standard form.

-11+4x²-3x

4x²-3x-11

400

What is the degree and leading coefficient of this Polynomial? (You need to state both)

-5x+4x²-2x³-15x

Degree = 3

LC = -2

500

Write this polynomial in standard form.

-23x-45x³+13x²+12x⁷-20x⁵+2

12x⁷-20x⁵-45x³+13x²-23x+2

Zero Product Property

100

Solve for x.

(x+2)(x-5)=0

x=-2 and x=5

200

Solve for x.

(2x+6)(3x-15)=0

x=-3 and x=5

300

Solve for x. 

3x(x-4)

x=0 and x=4

400

Solve for x.

3x²+9x=0

x=0 and x=-3

500

24x²+36x=0

x=0 and x=-3/2