Math Polynomial Review

Adding Polynomials

100

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

5x + 5

200

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

4a + 3

300

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

DOUBLE POINTS

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

600

(-7x⁵ + 14 -2x) + (10x⁴ + 7x + 5x⁵)

-2x⁵ + 10x⁴ +5x + 14

Subtracting Polynomials

100

(5a + 4) - (5a + 3)

1

200

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

-12h - 8

300

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

DOUBLE POINTS

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

600

(3 - 6x⁵ - 8x⁴) - (-6x⁴ - 3x - 8x⁵)

2x⁵ - 2x⁴ + 3x + 3

Multiplying Polynomials

100

3x² (2x⁴)

6x⁶

200

3(2x + 4x² - 5)

12x² + 6x - 15

300

DOUBLE POINTS

(x - 1)(−8x² − 6x − 12 )

-8x³ + 2x² - 6x + 12 

400

(x-2)(x+6)

x²+4x-12

500

(3r+ 5r-7)²

64r²−112r+49

600

(5x²-45)³

125x⁶−3375x⁴+30375x²−91125

All about Polynomials

100

A polynomial with 2 terms is called:

Binomial

200

What's the highest exponent in a polynomial called?

Degree

300

A polynomial with three terms is called:

Trinomial

400

What is the number in front of the highest degree term called?

Leading Coefficient

500

What is the Quadratic Formula?

(-b+-sqrt(b^2-4ac))/(2a)

600

DOUBLE POINTS

A polynomial with 1 term is called:

Monomial.

Dividing Polynomials

100

12x⁵/3x²

4x³  (No Remainder)

200

(6x⁴-9x³+3x)/3x

2x³-3x²+1 (No Remainder)

300

(x³+5x²-4x+2)/(x+2)

x³+5x²-4x+2 (Remainder: 22)

400

(2x⁴-7x²+9)/(x-3)

2x³+6x²+11x+33 (Remainder: 108)

500

(3x⁵-x⁴+2x³-5x+7)/(x²-1)

3x³-x²+5x-1 (Remainder: 6)

600

(x⁶-3x⁴+x²-8)/(x³-2)

x³-3x+2 (Remainder: x²-6x-4)