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nexus9112 [7]
3 years ago
8

Factor the polynomial 3x4 – 2x2 + 15x2 – 10 by grouping. Which product is the factored form of the polynomial? (–x2 – 5)(3x2 + 2

) (x2 – 2)(3x2 + 5) (x2 + 5)(3x2 – 2) (3x2 – 5)(x2 + 2)
Mathematics
2 answers:
trapecia [35]3 years ago
9 0

Answer:

(x^2+5)(3x^2-2)

Step-by-step explanation:

The polynomial is

3x^4-2x^2+15x^2-10

You can group the first and third term and the second and last term

3x^4+15x^2-2x^2-10

Factorize each pair

3x^4+15x^2-2x^2-10

3x^2(x^2+5)-2(x^2+5)

Finally, you can factor the (x^2+5) and obtain

(x^2+5)(3x^2-2)

Then, the answer is (x2 + 5)(3x2 – 2)

LuckyWell [14K]3 years ago
3 0

Answer:

(3x² - 2)(x² + 5)

Step-by-step explanation:

Given

3x^{4} - 2x² + 15x² - 10

Factor the first/second and third/fourth terms

= x²(3x² - 2) + 5(3x² - 2) ← factor out (3x² - 2) from each term

= (3x² - 2)(x² + 5)

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Q: You are shot out of a cannon at the fair. The equation y=-1/5 * (x+2) (x-28) models your flight path, where y is the height above the ground and x is the horizontal distance. Which of the following statements in the comments are true?

a) You reach a maximum height of 45 feet,

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A: When y = 0, x = 28

y’ = 0 at x = 13 where Y is max = 15^2 / 5 = 45

Hence a is true, b is false, c is false, d is false .

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Using the first derivative test, it is found that the graph is increasing on the interval is (-5, ∞).

<h3>What is Function?</h3>

A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.

Here, the function is given by:

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On differentiating both sides, with respect to x we get

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Then, we test the signal of the derivative, which is the first derivative test.

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Thus, It is found that the Function is increasing on the interval is (-5, ∞).

Learn more about Function from:

brainly.com/question/12431044

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