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AVprozaik [17]
3 years ago
13

Factor x^2a^2 + 3xa^2 + 2a^2. Show your work.

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0
x^2a^2 + 3xa^2 + 2a^2= \\ a^2(x^2+3x+2)= \\a^2(x^2+2x +x+2)= \\a^2(x(x+2)+(x+2))= \\a^2(x+2)(x+1)
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When using the rational root theorem, which of the following is a possible root of the polynomial function below? f(x)=2x^2-4x+9
Norma-Jean [14]

The only option that meets the root theorem is option b.

<h3>which of the following is a possible root of the polynomial function below?</h3>

The polynomial function is:

f(x) = 2x^2 - 4x + 9

The rational root theorem says that if a root is a rational number, then the leading coefficient must be divisible by the denominator of the rational number and the constant term must be divisible by the numerator.

In this case, the constant is 9, and the only option such that the constant is divisible by the numerator is option b: 3

Where 3 is a rational number:

3 = 3/1

The numerator is 3 (which divides 9) and the denominator is 1 (which divides the leading coefficient 9. (notice that it meets the theorem, but it is not an actual root).

If you want to learn more about polynomials.

brainly.com/question/4142886

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3 0
1 year ago
Please help and explain how you got the answer. Im giving out brainliest. || Q4
rosijanka [135]

Answer: 32

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The amount of money in Mark's bank account after x months is given by the function
Murrr4er [49]
Y=mx+b
Mx is the rate of change
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4 0
3 years ago
what is the polynomial function of lowest degree with leading coefficient of 1 and roots 2 and 1 + square root2
Marta_Voda [28]
If the roots to such a polynomial are 2 and 1+\sqrt2, then we can write it as

(x-2)(x-(1+\sqrt2))

courtesy of the fundamental theorem of algebra. Now expanding yields

(x-2)(x-1-\sqrt2)=x^2-2x-(1+\sqrt2)x+2(1+\sqrt2)=x^2-(3+\sqrt2)x+2+2\sqrt2

which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.

So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use 1-\sqrt2 as a root. In this case, that would make our polynomial

(x-2)(x-(1+\sqrt2))(x-(1-\sqrt2))=x^3-4x^2+3x+2

so that the answer is (probably) the third choice.

Whoever originally wrote this question should reevaluate their word choice...
5 0
2 years ago
Elephant<br> A. 30 kilograms<br> B. 90 grams<br> C. 5,000 grams<br> D. 5,000 kilograms
Mariulka [41]
Pretty sure it’s d. 5,000 kilograms
7 0
2 years ago
Read 2 more answers
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