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Savatey [412]
2 years ago
12

Factor 6x4 – 5x2 12x2 – 10 by grouping. what is the resulting expression? (6x 5)(x2 – 2) (6x – 5)(x2 2) (6x2 5)(x2 – 2) (6x2 – 5

)(x2 2)
Mathematics
1 answer:
bezimeni [28]2 years ago
7 0

The factored form of the expression is  (x^2+2)(6x^2-5).

We have given the expression 6x^4 – 5x^2 + 12x^2 – 10

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

A factor of polynomial P(x) is any polynomial that divides evenly into P(x)

Factoring by grouping

Given the expression 6x^4 – 5x^2 + 12x^2 – 10

Group the terms to have

(6x^4 – 5x^2) + (12x^2 – 10)

Factor out the common values

x^2(6x^2-5)+2(6x^2 - 5)

(x^2+2)(6x^2-5)

Therefore the factored form of the expression is

(x^2+2)(6x^2-5).

Learn more on factored form visit:

brainly.com/question/25948667

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Part III: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based on their length of employme
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Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.

<span>Length of employment (months)         Hourly wage (dollars/hour)
6 months                                                          7.55
12 months                                                        7.85
18 months                                                        8.15
24 months                                                        8.45

To obtain an algebraic expression </span>that describes how much Bailey’s employer pays part-time workers, we take two points from the table.

Recall that the equation of a linear function satisfying two points
(x_1,y_1) and (x_2,y_2)
is given by
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}

Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by
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Therefore, the <span>algebraic expression that describes how much Bailey’s employer pays part-time workers is
0.3x-6y=-43.5</span>
5 0
3 years ago
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