Factoring Trinomials and Finding Factors

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

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)

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)

Mathematical Equivalence

ON

• x+4

• x+3

• x+12

• x-3

• x-4

• x+4

• x+3

• x+12

• x-3

• x-4

Aarav, Henry, and Chloe are working on a math problem. They need to factor a trinomial where the leading coefficient is greater than 1. How should they approach this problem?

• They should divide the trinomial by the leading coefficient.

• They should use the FOIL method.

• They should subtract the constant term from the trinomial.

• They should use the AC method or trial and error.

Mia, Aarav, and Amelia are studying for a math test. Mia is confused about the difference between common factors and trinomial factoring. Can you help her understand?

• Common factors involve adding numbers, like when Mia adds up the cost of her school supplies, while trinomial factoring is like when Aarav multiplies a trinomial by a binomial to calculate the area of a complex shape.

• Common factors involve finding the greatest common factor, like when Amelia finds the greatest number of apples she and Aarav can equally share, while trinomial factoring is like factoring a trinomial into binomial factors to break down a complex problem into simpler parts.

• Common factors involve finding the smallest common factor, like when Mia finds the smallest number of candies she and Amelia can equally share, while trinomial factoring is like when Aarav factors a binomial into trinomial factors to solve a complex equation.

• Common factors involve dividing numbers, like when Aarav divides his candies equally among his friends, while trinomial factoring is like finding the square root of a trinomial, similar to when Amelia calculates the square root of a number.

Factor the Polynomial 12x³ - 9x² + 4x - 3

• (3x² + 1) (4x - 3)

• (3x² - 1) (4x + 3)

• (4x² + 1) (3x - 3)

• (4x² - 1) (3x + 3)