Polynomial Operations

Poly Names & Definitions

100

Classify by degree and number of terms.

9x² + 3x - 1

Quadratic Trinomial

200

Classify by degree and number of terms.

100

Constant Monomial

300

What are the degree and lead coefficient?

8 - 7x³ +4x

Degree: 3

LC: -7

400

Classify by degree and number of terms.

-4x³ - 9

Cubic Binomial

500

Evaluate the polynomial when x = -3

-5x³ + 6x² - 19

170

Add/Subtract Polynomials

100

(-8h² - 9h - 7) + (5h²+4h)

What is 

-3h² - 5h - 7

200

(-4w - 5) - (-7w + 2)

What is 

3w - 7 ?

300

(7n - 9 + n³) + (-6n³+5n²+3)

What is 

-5n³+ 5n² + 7n - 6

400

(-y² + 5 + 4y) - 

(-9y² + 2)

What is 

8y² + 4y +3 ?

500

(9 - 8x³ + 2x) - 

3(4x - 2 +5x²)

What is 

-8x³ - 15x² - 10x + 15 ?

Multiplying Polynomials

100

(m - 4)(m +3)

What is 

m² -m -12 ?

200

(5j +1)(4 +j)

What is 

5j² + 21j +4 ?

300

(x - 3)(x² - 8x +2)

What is 

x³ - 11x² +26x - 6 ?

400

(x - 5)²

What is 

x² - 10x + 25 ?

500

(5x - 9)(x² +3x + 10)

What is 

5x³ + 6x² +23x - 90 ?

Dividing Polynomials

100

(8x² - 68x - 34) 

/ (x - 9)

What is 

(8x +4) + 2/(x-9)

200

(2x³ + 18x² + 36x - 20) 

/ (x + 5)

What is 

2x² + 8x - 4

300

(10x² - 64x + 74) 

/ (5x - 7)

What is 

(2x - 10) + 4/(5x - 7)

400

(70x³ + 8x² + 10) 

/ (7x + 8)

What is 

10x² + 10 / (7x+8)

500

Is (4x + 3) a factor of (24x² - 18x - 17)? Explain.

No, it has a remainder of 10.

Factoring polynomials

100

z² + 5z + 4

What is 

(z + 4)(z + 1) ?

200

x² + 2x - 63

What is 

(x - 7)(x + 9) ?

300

3z⁵ - 12z³

What is 

3z³ (z +2)(z-2) ?

400

2z⁴ - 16z³ + 32z²

What is 

2z²(z - 4)² ?

500

7k⁴ - 91k² + 84

What is 

7(k - 12)(k + 1)(k - 1) ?