Sum and Product Factoring Trinomials

Complete the sum to product X

• -7, 4

• 7, -4

• -7, -4

• 2, -14

Solve the quadratic equation by factoring
a² + 10a + 21 = 0

• ± √21

• -3 , -7

• 3 , 7

• 28 , -7

Solve the equation by factoring:

n²+11n +30 = 0

• {-6, -5}

• {6, 5}

• {2, 15}

• {-15, -2}

When factoring quadratic trinomials of the form x² + bx + c, what is true about m and n if the factored form is (x + m)(x + n)?

• Their sum is equal to c, and their product is equal to b.

• The sum of b and c is equal to the product of m and n.

• Their sum is equal to b, and their product is equal to c.

• The product of b and c is equal to the sum of m and n.

• x+4

• x+3

• x+12

• x-3

• x-4

Solve by Factoring:

m² + 8m + 7 = 0

• {-1, -8}

• {1}

• {-4, 2}

• {-1, -7}

Solve by Factoring:

r² + 11r + 28 = 0

• {-4, -7}

• {3, 1}

• {5, 3}

• {-5, 2}

When factoring trinomials (ax²+bx+c) we learned a = 1 do Product/Sum Method. What was the product and sum? Choose the correct answer(s).

• Product was c

• Sum was c

• Product was b

• Sum was b

• Product and Sum were a

Answer explanation

Review the 2/27 EdPuzzle or 3/1 Nearpod if needed.

https://share.nearpod.com/F4bcl1dHVab

Which polynomials would be factored by Product/Sum Method or the Slide & Divide Method?

• 8x² + 10x

• 8x² + 10x - 21

• 3x² + 31x + 36

• x² - 11x - 12

• 5x³ - 30x² - 6x + 36

Answer explanation

Throughout our lessons you should have been taking note of when to do which type of factoring.

**GCF: any terms as long as they have a common factor other than 1.
**Grouping: only when you have 4 terms.
** Product/Sum or Slide & Divide (both similar methods): only for trinomials.

What is the Factored Form of v² - 6v + 8 ?

• (v+1)(v+8)

• (v-2)(v-4)

• (v-1)(v-8)

• (v+2)(v+4)

Answer explanation

Review the 2/27 EdPuzzle or 3/1 Nearpod if needed.

https://share.nearpod.com/F4bcl1dHVab