UNIT 10 FACTORING POLYNOMIALS

Difference of Squares

100

4x²-25

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

200

36y²-16x²

(6y-4x)(6y+4x)

300

49-y²

(7-y)(7+y)

400

64t⁴-225v²

(8t²-15v)(8t²+15v)

500

81g⁶-196h²

(9g³-14h)(9g³+14h)

SQUARE OF SUM

100

x²+10x+25

(x+5)²

200

r²+6r+9

(r+3)²

300

25x²+30x+9

(5x+3)²

400

16x²+40x+25

(4x+5)²

500

2x²+16x+32

2(x+4)²

SQUARE OF DIFFERENCE

100

9a²-30a+25

(3a-5)²

200

25x²-40x+16

(5x-4)²

300

16n²-24n+9

(4n-3)²

400

100n²-80n+16

(10n-4)²

500

125x²-200x+80

5(5x-4)²

Factor Polynomials

100

Factor quadratic polynomial, if possible

b²-b-6

(b-3)(b+2)

200

Factor quadratic polynomial, if possible

4x²-5x+7

PRIME

300

Factor quadratic polynomials, if possible.

4y²-13y+10

(4y-5)(y-2)

400

Use grouping to factor polynomials.

fg-5g+4f-20

(g+4)(f-5)

500

Use grouping to factor polynomials.

a²-4a-24+6a

(a-4)(a+6)

MYSTERY

100

9b²+12b+4

(3b+2)²

200

3k²-24k+48

3(k-4)²

300

Factor : 36x+6x²

6x(6+x)

400

Factor trinomial when a=1

x²+17x+42

(x+3)(x+14)

500

Use grouping to factor polynomials.

hj-2h+5j-10

(h+5)(j-2)