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3 years ago

12

Factor completely 3x^2 − 21

2 answers:

beks73 [17]3 years ago

7 0

When factor 3 out of 3x^2-21
you get 3(x^2-7)

Firdavs [7]3 years ago

5 0

The highest common factor of the two terms is 3, so that goes outside the bracket as 3(____). To get 3x^2, you multiply 3 by x^2, which is your first term in the bracket, and to get -21, you multiply 3 by -7, so your final answer is 3(x^2 - 7). I hope this helps!

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Is the "x" a multiplication sign?

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3 years ago

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Shkiper50 [21]

Answer:

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Step-by-step explanation:

Given the expression

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$\mathrm{Apply\:factoring\:rule:\:}x^n+y^n=\left(x+y\right)\left(x^{n-1}-x^{n-2}y+\:\dots \:-\:xy^{n-2}\:+\:y^{n-1}\right)\:\quad \quad \mathrm{n\:is\:odd}$

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$=\frac{\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)}{x+y}$

Cancel the common factor: x+y

$=x^4-x^3y+x^2y^2-xy^3+y^4$

Thus,

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3 0

3 years ago

The volunteers at a high school football team's concession stand are trying to decide on the price of the hot dogs they are sell

Dovator [93]

Answer:

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Step-by-step explanation:

To find: What is the constant term in the polynomial expression, and what does it represent?

The given expression is $-8x^2 + 54x + 140$ .

To find the constant term we can simply put x=0 in the given equation where x represents the number of $1 increase in price.

= $-8(0)^2 + 54(0) + 140$

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The constant term is 140 and it represents the revenue when the cost of a hot dog is $2.

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