Mathematics, 10.07.2021 17:20 karyvillanuevap5w9ym

Which shows one way
to determine the factors of x3 - 12x2 - 2x + 24 by grouping?

Answers: 3

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Answers

Answer from: needhelpasap4900

x^3 - 12x^2 - 2x + 24

x^2(x - 12) - 2(x -12)

(x - 12)(x^2 -2)

Step-by-step explanation:

Answer from: sarahelisabeth444

(x^2-2)(x-12)=0

Step-by-step explanation:

Factoring by grouping is a way of determining the factors of a polynomial equation. One firsts groups terms by putting them in parenthesis. Then one will take a common factor out of the parenthesis. Finally, one will group the coefficients and the grouped terms respectively, thus rewriting the polynomial equation as the product of its factors.

One is given the following equation:

x^3-12x^2-2x+24=0

Group the different terms in the equation:

(x^3-12x^2)+(-2x+24)=0

Factor, write a common factor that both terms in the parenthesis share, outside of the parenthesis.

x^2(x-12)-2(x-12)=0

Factor the equation again. Group the like terms together, and the coefficients together.

(x^2-2)(x-12)=0

Answer from: Quest

none of the option is correct.

step-by-step explanation:

it says to find which expression equals 9^3 sqrt 10 = ?

9^3 sqrt 10 = 729 sqrt 10.

checking option a. 5 sqrt 10 + 4 sqrt 10

5 sqrt 10 + 4 sqrt 10

= 9 sqrt 10.

checking option b. 5^3 sqrt 10 + 4^3 sqrt 10

5^3 sqrt 10 + 4^3 sqrt 10

= 125 sqrt 10 + 64 sqrt 10

= 189 sqrt 10.

checking option c. 5 sqrt 10 + 4^3 sqrt 10

5 sqrt 10 + 4^3 sqrt 10

= 5 sqrt 10 + 64 sqrt 10

= 69 sqrt 10.

checking option d. 5^3 sqrt 10 + 4 sqrt 10

5^3 sqrt 10 + 4 sqrt 10

= 125 sqrt 10 + 4 sqrt 10

= 129 sqrt 10.

hence, none of the option is correct.

Answer from: Quest

the direct variation says that:

$y \propto x$

then the equation is of the form is given by:

$y = kx$ where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

$3 = 2k$

divide both sides by 2 we get;

$k =\frac{3}{2} = 1.5$

⇒ $m(x) = 1.5x$

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

$m(x) = 1.5x$

$-1.5 = 1.5(-1)$

-1.5 = -1.5 true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

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