Factoring Polynomials: GCF Answers

Factor 20x2 + 25x – 12x – 15 by grouping. 1. Group terms with common factors. 2. Factor the GCF from each group. 3. Write the polynomial as a product of binomials. (20x2 – 12x) + (25x– 15) 4x(5x – 3) + 5(5x – 3) (5x – 3)( x + )

x – 2x – 12 – 1✔ 2x – 1

(2x + 1)(x – 1)(2x + 3)(7x – 1)✔ (7x + 3)(2x – 1)(7x – 1)(x – 2)

x2x7✔ 7x

Factor the polynomial 3x4 – 2x2 + 15x2 – 10 by grouping.Which product is the factored form of the polynomial?

Which statements are true about the polynomial 4x3 – 6x2 + 8x – 12? Check all that apply.The terms 4x3 and 8x have a common factor.The terms 4x3 and – 6x2 have a common factor.The polynomial is prime.The factored polynomial is (2x2 – 3)(2x + 4).The polynomial can be grouped in different ways to factor by grouping.

Which polynomial has (3x + 2) as a binomial factor?

Which polynomials are prime? Check all that apply.15x2 + 10x – 9x + 720x2 – 12x + 30x – 186x3 + 14x2 – 12x – 28 8x3 + 20x2 + 3x + 1211x4 + 4x2 – 6x2 – 16

Talia noticed that she does not have a common factor. What should she do?

Factor the polynomial 4x4 – 20x2 – 3x2 + 15 by grouping. What is the resulting expression?

x2✔ 36x