Completely factor the polynomial 8x2 – 24x 20x – 60. 8x(x 3)(x – 5) (4x – 3)(2x – 5) 2(2x – 3)(2x 5) 4(x – 3)(2x 5).

Respuesta :

Polynomials consist of both indeterminates and coefficients. The factor of the polynomial 8x² - 24x + 20x - 60 are 2(4x+10)(x-3).

What are polynomials?

A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.

Given to us

8x² - 24x + 20x - 60

We can factorize the polynomial in the following manner,

[tex]8x^2 - 24x + 20x - 60[/tex]

taking two as the factor commons from the entire polynomial,

[tex]=2[4x^2 - 12x + 10x - 30][/tex]

Now, taking 4x as the common factor from the first two terms of the brackets, also, take 10 as the common factor from the last two terms of the brackets,

[tex]=2[4x(x - 3) + 10(x - 3)]\\\\=2[(4x+ 10)(x - 3)]\\\\= 2 (4x+10)(x-3)[/tex]

Hence, the factor of the polynomial 8x² - 24x + 20x - 60 are 2(4x+10)(x-3).

Learn more about Polynomials:

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Answer: 4(x – 3)(2x + 5)

Step-by-step explanation: did no one use the formula that was given to you?