3 years ago

Which of the following is the slope of the line A. -3 B. 1/3 C. -1/3 D. 3

Mathematics

1 answer:

Crazy boy [7]3 years ago

6 0

Ask if explanation needed :)

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What are all of the real roots of the following polynomial? f(x) x^4-24x^2-25

Greeley [361]

<u>Answer:</u>

x = ±5

<u>Step-by-step explanation:</u>

We are given the following polynomial function and we are to find all of its real roots:

$x^4-24x^2-25$

Let $y=x^2$ so we can now write it as:

$y^2-24y-25$

Factorizing it to get:

$(y^2+y)+(-25y-25)$

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Substitute back $y=x^2$ to get:

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$\left ( x^2 + 1 \right ) \left ( x + 5 \right ) \left ( x - 5 \right )$

The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.

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