Factoring and Expanding Equation

Match each polynomial with the correct label for factoring.

• Difference of

  Two Squares

• Sum of

  Two Cubes

• GCF Only

• Sum of Two Squares

• Difference of

  Two Cubes

Mathematical Equivalence

ON

What are the steps for factoring a quadratic equation?

• Write left and right terms in factored form (x+_)(x+_). place a term in front.

• Multiply a & c, write in top of diamond. Put b in bottom.

• Determine factors of top that add to equal bottom, write these on left and right of diamond

• Divide left and right terms in diamond by a, and simplify.

• Distribute a term to set of parentheses with fraction inside.

Factor
4n²-17n-15

• (n-10)(6n+1)

• (4n-5)(n-3)

• (n-5)(4n-3)

• (n-5)(4n+3)

Factor the polynomial:
5x² - 13x + 6

• (x + 3)(5x - 2)

• (x - 2)(5x - 3)

• (x + 2)(5x + 3)

• (x - 3)(5x + 2)

Multiply:

(4a + 5 )( 5a - 7 )

• 20a - 35

• 20a + 35

• 20a² - 3a - 35

• 20a² + 3a - 35

Expand the following factors by multiplying

Lin missed math class on the day they worked on expanding and factoring. Kiran is helping Lin catch up. Lin understands that expanding is using the distributive property, but she doesn’t understand what factoring is or why it works. How can Kiran explain factoring to Lin?

• 4(9a-4)

• 2(18a-8)

• other option 1

• other option 2

• other option 3