Operations on Polynomials

Adding/Subtracting

100

T or F: Distribute the negative to both polynomials when subtracting.

(5x+x⁴)-(3x⁴+4x)

False, just distribute to the second polynomial.

200

(4x+x³)+(2x³+2x)

3x³+6x

300

(3x³+2x+5x)+(5x²-3x)

3x³+5x²+4x

400

(-7x⁴+3x³-x)-(-2x⁴+4x²)+(5x-2)

-5x²+3x³-4x²+4x-2

500

(2x²+3x-1)-(7x-3x²)+(5x+1)

5x²+x

Multiplying

100

(x+2)(x+3)

x²+5x+6

200

(5x²+3)(x+7)

5x³+35x²+3x+21

300

(10x⁵+3x)(5x²+4)

50x⁷+40x⁵+15x³+12x

400

(2x²+4x)(x³+6x+1)

2x⁵+4x⁴+12x³+26x²+4x

500

(x³-2x-8)(-x²+3x-5)

-x⁵+3x⁴-3x³+2x²-14x+40

Factoring

100

5x²-9x-18

(5x+6)(x-3)

200

9x²-16

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

300

x²+16

not factorable

400

x⁴+x²-6

(x²+3)(x²-2)

500

16xy-20x²+28y-35x

(4y-5x)(4x+7)

Division

100

(y²-9)/(y+3)

(y-3)

200

Is (x+1) a factor of (12x⁷+12x⁶)?

Yas queen

300

(z²-16)/(z+1)

z-1-(15/z+1)

400

(21x⁴-35x³-21x²+44x-15)/(3x-5)

7x³-7x+3

500

(6x⁴+17x³+6x²-17x-15)/(2x²+x-3)

3x²+7x+4-(3/2x²+x-3)