Polynomials

Parts

100

3x² - 8x + 9,  Name the x

variable

200

-5x² + 7x - 8, name the -5

leading coefficient

300

7x² - 3x + 6, name the 6

constant

400

4x² - 5x, name the 5

coefficient

500

-8x² + 5x - 9x³ - 4, name the 3

degree

Adding

100

(5x² + 9) + (4x² - 7)

9x² + 2 

200

Add -5x³ + 6x² + 5 to 3x² - 5x + 4

-5x³ + 9x² - 5x + 9 

300

Find the sum of -8 + 5x² - 7x⁴ and 5x⁴ - 3x - 6x² + 2

-2x⁴ - 1x2 - 3x - 6 

400

Given A = -2x³ - 4x² - 8 and B = -3x³ - 5x - 15, find the polynomial that represents A + B

-5x³ - 4x² - 5x - 23

500

Express as a polynomial (5x² - 8 + 4x³) + (2x³ - 7) + (-8x³ - 5x + 2 - 3x²)

-2x³ +2x² -5x -13 

Subtracting

100

Subtract:  (-5x² + 3x - 2) - (6x² + 5x - 7)

-11x² - 2x + 5 

200

Find the difference of 6x² - 3x + 4 and 7x² + 5x - 1 

-1x² - 8x + 5 

300

Subtract 8x² + 3x - 5 from 2x² - 3x - 9 

-6x² - 6x - 4

400

If A = 4x³ - 2x + 5 and B = 3x³ + 5x² - 8, Find the expression that represents A - B 

x³ - 5x² - 2x + 13

500

If A = 4x² + 7x - 9 and B = 5x³ - 2x² + 2, Find the polynomial that represents 2B - A 

10x³ - 8x² - 7x +13

Multiplying

100

Simplify. 3x³ * 5x²

15x⁵

200

Find the product

-4x²(5x + 2)

-20x³ - 8x²

300

Simplify (x + 3)(x - 5)

x² - 2x - 15

400

(3x - 2)(5x - 1)

15x²-13x+2

500

3x(4x - 3)(x + 5)

12x³ + 51x² - 45x

Factoring

100

Factor using a GCF:  30x² + 5x

5x(6x + 1)

200

Factor:  x² - 25 

(x + 5)(x - 5)

300

Factor x² - 4x + 3 

(x - 1)(x - 3)

400

2x² - 10x - 12 

2(x - 6)(x + 1)

500

4x⁴ - 12x³ + 8x²

4x²(x - 2)(x - 1)