Factoring Polynomials!!!

GCF

100

21x - 15y

3(7x - 5y)

200

14c² + 2c

2c(7c + 1)

300

5p² + 12q²

prime

400

8x³y⁴ - 22x⁵y⁶

2x³y⁴(4 - 11x²y²)

500

21m⁵n² + 6m³n + 15m²

3m²(7m³n² + 2mn + 5)

Difference of Squares

100

a² - 64

(a + 8)(a - 8)

200

m² + 81

prime

300

1 - 25n²

(1 + 5n)(1 - 5n)

400

16x² - 49y²

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

500

w⁴ - 100

(w² + 10)(w² - 10)

Trinomials

100

x² + 7x + 6

(x + 6)(x + 1)

200

m² - 17m - 38

(m - 19)(m + 2)

300

y² - 10y + 16

(y - 8)(y - 2)

400

w² - 16w + 64

(w - 8)²

500

a² + 13a - 30

(a + 15)(a - 2)

GCF & Difference of Squares or Trinomial

100

75r² - 48

3(5r + 4)(5r - 4)

200

m³n - mn³

mn(m + n)(m - n)

300

6a³ - 24ab²

6a(a + 2b)(a - 2b)

400

3x² + 15x - 72

3(x + 8)(x - 3)

500

4y³ + 4y² - 120y

4y(y + 6)(y - 5)

Surprise!

100

Factor using the GCF.

10a²b² + 9ab² - a²b

ab(10ab + 9b - a)

200

Factor the trinomial.

x² - 27x - 90

(x - 30)(x + 3)

300

Factor the difference of squares.

196a² - b²

(14a + b)(14a - b)

400

First, find the GCF. Then factor the trinomial.

2m² - 4m + 2

2(m - 1)²

500

First, find the GCF. Then factor the trinomial.

x³ + 9x² - 52x

x(x + 13)(x - 4)