REVIEW ON FACTORING

Factoring trinomials when a=1

100

Factor into two binomials: x²+10x+25

(x+5)(x+5)

200

Factor into two binomials: x²-12x+27

(x-9)(x-3)

300

Factor into two binomials: x²+2x-24

(x+6)(x-4)

400

Factor into two binomials: x²-5x+6

(x-3)(x-2)

500

Factor into two binomials: y⁴-7y²-18

(y^2-9)(y^2-2)

Factoring trinomials when a>1

100

Factor 2x²-7x+6

(2x-3)(x-2)

200

Factor 9x²+6x+1

(3x+1)(3x+1)

300

Factor 2x²-x-6

(x-2)(2x+3)

400

Factor 4y²+12y+9

(2y+3)(2y+3)

500

Factor: ax²-bx-ax+b

(x-1)(ax-b)

Factor using the GCF

100

Factor 3x²-12x

3x(x-4)

200

Factor: x² - 3x

x(x-3)

300

Factor: 4x²y⁴z³ - 16x³y²z + 24x⁴y⁶z³

4x²y²z (1y²z² - 4x +  6x²y⁴z²

400

Factor: 4ab²-12a²b

4ab(b-3a)

500

15a²b⁴ - 27a⁴b⁶ 

3a²b⁴ (1 - 9a²b²)

Factor completely

100

Factor completely: a²b²-144a²

a²(b+12)(b-12)

200

Factor completely: x² +0x-625

(x+5)(x-5)

300

Factor completely: 3x³ - 9x² - 30x

3x(x+2)(x - 5)

400

Factor completely: 2x³+14x²-60x

2x(x+10)(x-3)

500

Factor completely: 4x² + 8x³ + 4x⁴

4x²(1 + x) (1 + x)

Explain

100

What is a GCF?

Is the largest factor or variable that you can divide out of all the terms of the polynomial.

200

What is the formula of the standard for of a quadratic

ax² + bx + c

300

What is the vertex of the equation y = 2(x - 3)² + 2

(3, 2)

400

How do you solve using the difference of two squares method.

a² - b² = (a - b) (a + b) 

500

How do you determine if the the parabola opens upward or downward?

If a is positive then it opens upward.  If a is negative then it opens downward.