Factoring and Expanding Equation

Match each polynomial with the correct label for factoring.

• Sum of

  Two Cubes

• Sum of Two Squares

• Difference of

  Two Cubes

• Difference of

  Two Squares

• GCF Only

Mathematical Equivalence

ON

What are the steps for factoring a quadratic equation?

• 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.

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

• 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?

Evaluate responses using AI:

OFF

• 4(9a-4)

• 2(18a-8)

• other option 1

• other option 2

• other option 3

Evaluate responses using AI:

OFF