Factoring And Solving Quadratics

The standard form of a quadratic function is

• ax² + bx + c

• a(x - h)² + k

• y - y₁ = m(x - x₁)

• Ax + By = C

Identify the a, b, and c of this trinomial:

5x² - 3x - 2

• a = 5, b = 3, c = 2

• a = 5, b = -3, c = -2

• a = 5, b = 3, c = -2

• a = 5, b = -3, c = 2

What should you do first in solving this equation?

x² + 6x - 13 = 3

• Get factored form

• Write down: a=1, b=6, c=-13

• Make it equal 0 by subtracting 3 on each side

• Type it all in a calculator.

Tags

CCSS.HSA-REI.B.4B

A, B, and C if 3x² - 8 = -5x

• A=3, B=5, C=-8

• A=3, B=-8, C=5

• A=3x², B=5x, C=-8

• A=3x² , B=-8, C=5x

What is the GCF of the trinomial?
3x² - 9x -120

• 3
• 2
• 6
• 9

What is the GCF and new expression to be factored?

• 
• 
• 
• There is no GCF, so the equation is the same.

Tags

CCSS.HSA-REI.B.4B

Question 8: Which table is correct for 2x² - 5x - 12?

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• 

Given the table shown. What would be the correct factors? What would be the solutions?

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• 
• 
• 
• 

What should be the first step?

• Write the equation in standard form.

• Factor out the GCF.

• Add 24 to move it to the other side.

• Find a * c.

Tags

CCSS.HSA-REI.B.4B

Factor and solve:

• (4x - 9)(4x + 9)

  x = {-9/4, 9/4}

• (2x - 3)(2x + 3)

  x = {-2/3, 3/2}

• (2x - 3)²

  x = {3/2}

• (2x + 3)²

  x = {-3/2}

Tags

CCSS.HSA-REI.B.4B