Algebra 1 Polynomials and Factoring

Simplifying by Adding

100

( 2x³ - 5x² + x ) + ( 2x² + x³ - 1)

3x³ - 3x² + x - 1

200

( 3x² + x - 6 ) + ( x² + 4x + 10)

4x² + 5x + 4

300

( 6 x + 4) + ( x + 5)

7x + 9

400

( 4x² - 5) + ( 3x² -2 )

7x² + -7

500

( 10x² + 4x - 5 ) + ( -3x² +-2x -1)

7x² + 2x - 6

Factoring GCF

100

Factor the GCF out of 25x² + 15

What is 5(5x² + 3)

200

Factor the GCF out of 2x² + 16x

What is 2x(x + 8)

300

Factor the GCF out of 4t³ + 24t

What is 4t(t² + 6)

400

Factor GCF out of 8s⁸ t⁴ + 20s⁴ t³

What is 4s⁴ t³(2s⁴t + 5)

500

Factor the GCF out of 10x⁶y⁴z⁴ + 20x⁵y³z⁴

What is 10x⁵y³z⁴(xy + 2)

Simplifying by Multiplying

100

2x³ ( x³ + 3x² - 2x + 5)

2x⁶ + 6x⁵ - 4x⁴ + 10x³

200

( x - 4) ( 3x + 2)

3x² - 10x - 8

300

(x - 2) (3x + 4)

3x² - 2x - 8

400

(x+3) (x+2)

x² + 5x + 6

500

( 2x² + 5x - 1) (4x - 3)

8x³ + 14x² -19x +3

Factoring Trinomials a=1

100

In x² + 16 x + 63, what is b equal to and what is c equal to? (Remember ax² + bx + c)

What is b = 16 and c = 63?

200

Factor q² + 12q + 20

(q + 2)(q + 10)

300

Factor a² – 11a + 18

What is (a - 9)(a + 2)

400

Factor x² + 5x – 14

What is (x + 7)(x - 2)

500

Factor k² + 4k – 96

What is (k + 12)(k - 8)

More Factoring Trinomials a=1

100

Factor w² + 8w + 15

What is (w + 3)(w + 5)

200

Factor d² + 8d + 12

What is (d + 2)(d + 6)

300

Factor r² - 7r + 10

What is (r - 2)(r - 5)

400

Factor 3x² + 9x - 84

What is 3(x + 7)(x - 4)

500

What is the standard form for quadratic trinomials?

What is ax² + bx + c