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Hoochie [10]
3 years ago
9

Can someone please give a step to step on how to factor x^2-75= -10x

Mathematics
1 answer:
iren [92.7K]3 years ago
7 0

x^2 - 75 = -10x

<em><u>Add 10x to both sides.</u></em>

x^2 + 10x - 75

<em><u>Check if splitting the middle term is possible.</u></em>

<em><u>Display factors of -75.</u></em>

1 * -75

-1 * 75

-5 * 15 <  (this meets the criteria)

<em><u>Split the middle term.</u></em>

x^2 - 5x + 15x - 75

<em><u>Factor each binomial.</u></em>

x(x - 5) + 15(x - 5)

<em><u>Combine factors.</u></em>

(x + 15)(x - 5) is the completely factored form of the provided quadratic.


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Factor completely 5ax2 − 20x3 2a − 8x. (a 4x)(5x2 2) (a 4x)(5x2 − 2) (a − 4x)(5x2 2) (a − 4x)(5x2 − 2).
antiseptic1488 [7]

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 5ax² − 20x³ + 2a − 8x.

Take 5x² common from the first two terms and 2 from the last two terms. we have

5ax² − 20x³ + 2a − 8x

5x²(a − 4x) + 2 (a − 4x)

Take (a - 4) common, then we have

(5x² + 2) (y − 4x)

The complete factor of the polynomial 5ax² − 20x³ + 2a − 8x is (5x² + 2) (y − 4x). Then the correct option is C.

More about the polynomial link is given below.

brainly.com/question/17822016

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