What is the factored form of 6x2 13x 6? (x 4)(x 9) (2x 3)(3x 2) (2x 6)(3x 1) (6x 1)(6x 1).

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15-02-2022
Mathematics

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What is the factored form of 6x2 13x 6? (x 4)(x 9) (2x 3)(3x 2) (2x 6)(3x 1) (6x 1)(6x 1).

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ap8997154 ap8997154 · Answer 1 · 2022-02-24T12:31:32+01:00

Polynomial are expressions. The factored form of the polynomial 6x²+13x+6 is (3x+2)(2x+3).

What are polynomial?

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

In order to find the factored form of the given quadratic equation, we will break constant b(13) into two parts such that the sum of the parts is 13, while their product is equal to the product of the constant a(6) and c(6).

[tex]6x2+13x+6\\\\= 6x^2 + 9x + 4x + 6\\\\= 3x(2x+3)+2(2x+3)\\\\=(3x+2)(2x+3)[/tex]

Hence, the factored form of the polynomial 6x²+13x+6 is (3x+2)(2x+3).

Learn more about Polynomial:

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