Finding Binomial Factors

Harper is trying to solve a math problem. She needs to factorize the expression 2x^2 + 7x + 3. Can you help her?

• (2x + 3)(x + 1)

• (2x + 1)(x + 3)

• (2x + 2)(x + 1)

• (2x - 1)(x - 3)

Oliver, Ishaan, and Harper are working on a math problem. They are trying to break down a trinomial equation into simpler parts. What is this process called?

• Multiplying three binomials

• Factoring a binomial into three trinomials

• Factoring a trinomial into two binomials

• Dividing a trinomial by a binomial

Zoey, Anaya, and Isabella are trying to solve a math problem. They need to factorize the expression 3x^2 - 10x + 8. Can you help them?

• (3x-2)(x-4)

• (3x-4)(x-2)

• (3x+4)(x-2)

• (3x+2)(x-4)

Priya was helping Emily with her math homework when they came across a problem: 'Factorize the expression representing the area of a rectangle, if the length is (4x - 3) and the width is (x - 3)'. The expression was 4x^2 - 12x + 9. How would you factorize this expression?

• (2x+3)^2

• (2x-3)(2x+3)

• (2x-3)^2

• (4x-3)(x-3)

9m²-12m+4

My factoring strategy is

• AC!

• GCF

• SUM & DIFFERENCE

• SQ OF A BINOMIAL

y²+10y+16

Factor this by

• finding a GCF

• grouping

• choosing factors of 16 that add to 10

• sum & difference pattern

ax²+bx+c if b is negative and c is positive

• both factors are differences

  (x-_)(x-_)

• one factor is a difference and one is a sum

  (x+_)(x-_)

• both factors are sums

  (x+_)(x+_)

16d²-1

Factor with

• AC!

• Sum and Difference

• Square of a Binomial

• GCF

What is the process of finding the factors of an expression which is the reverse process of multiplication?

• rationalization

• special product

• continuous division

• factoring

If one factor of 6ab² – 12 a²b ³ is 1 – 2ab, what is the other factor?

• 6ab

• 6a²b

• 6ab²

• 6a²b ²