Factoring Polynomials

Factoring GCF

100

Factor: 10x-8

2(5x-2)

200

Factor: 16x²+12x

4x(4x+3)

300

Factor: 3x²-4x⁴

x²(3-4x²)

400

Factor: 9x³+18x²-27x

9x(x²+2x-3)

500

Factor: xy⁴-xp²

x(y⁴-p²)

Factoring Trinomials a=1

100

Factor: x²+9x+14

(x+7)(x+2)

200

Factor: x²-x-6

(x+2)(x-3)

300

Factor: x²-3x-10

(x-5)(x+2)

400

Factor: x²-11x+18

(x-2)(x-9)

500

Factor: x²+6x-40

(x-4)(x+10)

Factoring Trinomials a is not 1

100

Factor: 2x²-x-3

(x+1)(2x-3)

200

Factor: 5x²+19x-4

(x-4)(5x+1)

300

Factor: 4x²+11x-20

(x+4)(4x-5)

400

Factor: 10x²-x-3

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

500

Factor: 54x²-15x-25

(9x+5)(6x-5)

Difference of Squares

100

Factor: 4x²-25

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

200

Factor: x²-81

(x+9)(x-9)

300

Factor: 49x²-100

(7x+10)(7x-10)

400

Factor: 25x²-169

(5x+13)(5x-13)

500

Factor: 4x²-16

4(x+2)(x-2)

Unknown

100

What is the greatest common factor of 14, 28, and 84?

14

200

What is the vertex of the quadratic function:

f(x) = x²-10x+30?

(5,5)

300

Find the zeros of 2x²-x-3

-1 and 1.5

400

What is the axis of symmetry of f(x) = 4(x+2)²-7 ?

x=-2

500

Determine the slope of the line that passes through the points (2,7) and (-1,5).

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