Polynomials and Factoring

Adding and Subtracting Polynomials

100

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

7x-4

200

5+8y²-12y²+3y

-4y²+3y+5

300

What is the missing term in the equation? (___+5)+(3x-2)=8x+3

5x

400

(2x²-4x-1)-(3x²+8x-4)

-x²-12x+3

500

(5b⁴-2+3b²)+(5b²-4+3b⁴)

8b⁴+8b²-6

Multiplying Polynomials

100

6x(x²-4x-3)

6x³-24x²-18x

200

-y(-3y²+2y-7)

3y³-2y²+7y

300

3x²(-x²+2x-4)

-3x⁴+6x³-12x²

400

(3x-4)(2x+5)

6x²+7x-20

500

(-2x²+1)(2x²-3x-7)

-4x⁴+6x³+16x²-3x-7

Multiplying Special Cases

100

(y+9)(y+9)

y²+18y+81

200

(p+15)²

p²+30p+225

300

(x-12)(x+12)

x²-144

400

(2x+5)(2x-5)

4x²-25

500

(x²-2y)(x²+2y)

x⁴-4y²

Factoring Polynomials x^2+bx+c

100

What's the GCF of these monomials? 6x², 21x

3x

200

Factor out 15x³-42x

3x(5x²-14)

300

x²+12x+32

(x+8)(x+4)

400

x²+3x-28

(x+7)(x-4)

500

x²+18xy+45y²

(x+3y)(x+15y)

Factoring Polynomailsax^2+bx+c

100

3x²+10x+8

(3x+4)(x+2)

200

4x²-3x-10

(4x+5)(x-2)

300

5x²+7x-6

(5x-3)(x+2)

400

6x²+13x+6

(3x+2)(2x+3)

500

12x²+22x+6

2(2x+3)(3x+1)