Polynomials

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

(-5x²+3x⁶+5) + (-5x⁶-5-3x²)

-2x⁶-8x²

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:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 3)(x + 2)

x² - x - 6

300

Multiply the Polynomials:

(2x-6)²

4x² -24x +36

400

Multiply the Polynomials:

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

12n² + 13n - 4

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Factoring

100

Factor out the GCF

30x-42

6(5x-7)

200

What does the acronym AMME stand for?

Add to the middle, multiply to the end

300

Factor.

x^2-6x+5

(x-5)(x-1)

400

Factor:

4p² - 256

4(p+8)(p-8)

500

Factor out the GCF

2x^4+20x^3+32x^2

2x^2(x+8)(x+2)

Solve Quadratic Equations with Factoring

100

x^2+3x+2=0

x = -2, -1

200

x^3+11x^2+18x=0

x = 0, -9, -2

300

x^2+9x-26 = -4

x = -11, 2

400

x^3-81x=0

x = 0, -9, 9

500

x^2-15 = 10x-3

n = -1, 6

Classify

100

What is the leading coefficient of the polynomial?

x-5x^2+3

-5

200

Classify the polynomial based on the number of terms. 7x²-5x+9

trinomial

300

Put the polynomial in standard form:

x³y + 3xy - 2y + 4x³

x³y + 4x³ + 3xy - 2y

400

What is the degree of this polynomial?

2x²+7y+3x⁵+9

5

500

Put in standard form and state the degree of the polynomial.

6x^2-7x^4+9xy^4-7xy^2

9xy^4-7x^4-7xy^2+6x^2