Factoring Polynomials

Factoring Trinomials where a=1

100

Factor

x²+3x+2

(x+2)(x+1)

200

Factor

x²+25x+100

(x+5)(x+20)

300

Factor

b²-8b+7

(b-1)(b-7)

400

Factor

x²+19x-20

(x+20)(x-1)

500

Factor

m²-24m-180

(m-30)(m+6)

Factoring Trinomials where a≠1

100

Factor

2x²+12x+10

2(x²+6x+5)
2(x+5)(x+1)

200

Factor
2x²+11x+12

(2x+3)(x+4)

300

Factor
6w²+17w+5

(3w+1)(2w+5)

400

Factor
4p²-10p+4

(4p-2)(p-2)

500

Factor
40x²-2x-3

(10x-3)(4x+1)

Factoring Special Products

100

Factor

x²-2²

(x-2)(x+2)

200

Factor

g²-49

(g-7)(g+7)

300

Factor
b²+4b+4

(b+2)²

400

Factor

100x²+36

Not factorable using difference of squares!

4(25x²+9)

500

Factor

16x²-24xy+9y²

(4x-3y)²

Solving by Factoring

100

Solve by Factoring

x²-2x-15=0

(x-5)(x+3)

x=5 or x=-3

200

Solve by factoring

3x²+18x+27=0

3(x²+6x+9)
3(x+3)²

x=-3

300

Solve by Factoring
c⁵-25c³=0

c³(c²-25) = 0

c³(c-5)(c+5)=0

c=0 or c=5 or c=-5

400

Solve by Factoring
4g³-10g²-6g=0

4g³-10g²-6g=0
2g(2g²-5g-3)=0
2g(g-3)(2g+1)=0
g=0 or g=3 or g=-1/2

500

Solve by Factoring
n⁵+2n⁴-n³-2n²=0

n⁵+2n⁴-n³-2n²=0
n²(n³+2n²-n-2)=0
n²(n+2)(n²-1)=0
n²(n+2)(n-1)(n+1)=0

n=0 or n=-2 or n=1 or n=-1

Questions about Tr. Meryl

100

What subject does she teach?

Mathematics

200

How many children does she have?

1

300

Where does Tr. Meryl live in the UK?

England/Northern Ireland/Scotland/Wales

Northern Ireland

400

What is Tr. Meryl's favourite movie?

The Prestige

500

Who does Tr. Meryl live with?

give first names

Brett (husband) and Koda (baby)