Factor 20x2 25x – 12x – 15 by grouping. 1. Group terms with common factors. 2. Factor the GCF from each group. 3. Write the poly

Question

2 years ago

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nomial as a product of binomials. (20x2 – 12x) (25x– 15) 4x(5x – 3) 5(5x – 3) (5x – 3)( x ).

1 answer:

lyudmila [28] · Answer 1 · 2023-03-10T00:36:13+03:00

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

$(4x+5)(5x-3)$

<h3>What is the factor of polynomial?</h3>

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,

$20x^2+25x-12x-15$

Factor the above polynomial by grouping as,

$(20x^2+25x)+(-12x-15)$

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

$5x(4x+5)-3(4x+5)\\$

Write the polynomial as a product of binomials as,

$5x(4x+5)-3(4x+5)\\(4x+5)(5x-3)$

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,

$(4x+5)(5x-3)$

Learn more about factor of polynomial here;