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ludmilkaskok [199]
3 years ago
13

Factor 6x4 â€"" 5x2 12x2 â€"" 10 by grouping. What is the resulting expression? (6x 5)(x2 â€"" 2) (6x â€"" 5)(x2 2)

(6x2 5)(x2 â€"" 2) (6x2 â€"" 5)(x2 2).
Mathematics
1 answer:
vitfil [10]3 years ago
7 0

Polynomial equation is an expression of two or more algebraic terms, which are added or subtracted from each other to form an equation. The resulting expression given polynomial function is,

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

Hence, option 4 is the correct option.

<h3>Polynomial- </h3>

Polynomial equation is an expression of two or more algebraic terms, which are added or subtracted from each other to form an equation.

The power of the variable is different but has the same variable.Given-the given polynomial equation is,

6x^4-5x^2+12x^2-10

Rearrange the given equation, we get,

6x^4+12x^2-5x^2-10

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

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

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

Thus, the resulting expression given polynomial function is,

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

Hence, option 4 is the correct option.

For more about the polynomial, follow the link below-

brainly.com/question/17822016

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Step-by-step explanation:

We have been given that a variable force of 3x^{-2} pounds moves an object along a straight line when it is x feet from the origin.  We are asked to find the work done in moving the object from x = 1 ft to x = 10 ft.

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\int\limits{1dw} =3\int\limits^{10}_1 {x^{-2} \, dx

w =3\int\limits^{10}_1 {x^{-2} \, dx

Upon applying power rule of integrals, we will get:

w =3\/[ \frac{x^{-2+1}}{-2+1} ]^{10}_1

w =3[ \frac{x^{-1}}{-1} ]^{10}_1

w =3[ -\frac{1}{x} ]^{10}_1

w =3[ -\frac{1}{10} -(-\frac{1}{1})]

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3 years ago
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