FACTORING POLYNOMIALS

Factoring trinomials

Factoring Trinomials- harder

Completing the Square

Factor by GCF

Miscellaneous Factoring

100

Factor into two binomials: x²+ 8x + 12

(x+6)(x+2)

100

Factor into two binomials: 2x²+7x+3

(2x+1)(x+3)

100

What is the first step when you are completing the square? Hint: It has to do with the constant!

Push the constant aside and have it wait till we complete the square.

100

Factor by GCF: 14n²+ 10n

2n(7n+5)

100

Solve for x: 3x-7=11

x=6

200

Factor into two binomials: m²- 11m + 18

(m-9)(m-2)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

200

What do we do to the middle term to find the number that completes the square?

Cut it in half and square it.

200

Factor by GCF: 18x³-6x

6x(3x²-1)

200

2x+8=5x-7

x=5

300

Factor into two binomials: x²+ 5x - 24

(x+8)(x-3)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

300

Once we find the number that completes the square, what do we do with it?

Add it on and subtract it.

300

Factor by GCF: 8 - 4a²

4(2-a²)

300

Solve the system of equations by using substitution. 3y+2x=32, x=7

y=6

400

Factor into two binomials: y²- 6y - 7

(y-7)(y+1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

400

It the trinomial has a leading coefficient other than 1, what must we do before we start completing the square?

Factor it out.

400

Factor by GCF: 4x⁴+ 16x³- 8x²

4x²(x²+4x-2)

400

What is the slope and y-intercept of the following line? y=5x-2

Slope=5 Y-Intercept=-2

500

Factor into two binomials: x²- x - 56

(x-8)(x+7)

500

Factor completely: 2x²- 12x + 10

2(x-1)(x-5)

500

Complete the Square:

x² - 10x - 8

(x -5)² - 33

500

Factor by GCF: 10a³b⁴- 6a²b⁶

2a²b⁴(5a-3b²)

500

Solve the system of equations by using elimination. 2x + y = 9, 3x – y = 16

x=5, y=-1