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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 ).

Sagot :

The factors of the specified polynomial by the grouping the polynomial and taking out GCF is,

[tex](4x+5)(5x-3)[/tex]

What is the factor of polynomial?

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial expression in the problem is,

[tex]20x^2+25x-12x-15[/tex]

Factor the above polynomial by grouping as,

[tex](20x^2+25x)+(-12x-15)[/tex]

Factor the greatest common factor (GCF) from each group as,

[tex]5x(4x+5)-3(4x+5)\\[/tex]

Write the polynomial as a product of binomials as,

[tex]5x(4x+5)-3(4x+5)\\(4x+5)(5x-3)[/tex]

The above polynomial is written as a product of binomials.

Hence, the factors of the specified polynomial by the grouping the polynomial and taking out GCF is,

[tex](4x+5)(5x-3)[/tex]

Learn more about factor of polynomial here;

https://brainly.com/question/24380382

Answer:

its 4 and 5 in the blank spots :)

Step-by-step explanation:

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