Factoring and Solving Equations

Factor 6x²-27x

• (6x+1)(x+3)

• 3x(2x-9)

• 6x(x-9)

• (3x-9)(2x+3)

Solve:

5b² - 4 = 41

• b = 9, b = -9

• b = 3, b = -3

• b = 8, b = -8

• no real solution

What type of equations always include an x²?

• Quadratic

• Linear

• Exponential

• Quartic

What is the standard form for a Quadratic?

• ax²+ bx = - c

• x = -b ± √(b²-4ac) / 2a

• ax² + bx + c

• y = mx + b

4x² - 25

• (2x + 5) (2x - 5)

• (2x - 5)²

• (2x + 5)²

• 2x + 5(2x - 5)

Solve for b:
-11 + 3(b + 5) = 7

• b = 1

• b = -1

• b = 3

• b = -3

Factor out the GCF:
12x + 6

• 6(2x + 1)

• 3(4x + 2)

• 6x(2x + 1)

• 2(6x + 3)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor:
56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor:
10x + 15

• 100x + 150

• 10(x + 5)

• 1(10x + 15)

• 5(2x + 3)