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Sever21 [200]
4 years ago
15

Pleasee help for quizz!! ignore the play buttons

Mathematics
1 answer:
alexandr1967 [171]4 years ago
8 0

Answer:

i think the 3rd one

Step-by-step explanation:

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Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x
Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

f(x) = (x - (7 + i)) (x - (5 - i))

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48

5 0
2 years ago
3d + 6 = 12<br> Please solve for D!
ki77a [65]

Answer:

d=2

Step-by-step explanation:

3d + 6 = 12

first subtract 6 from both sides

3d=6

divide by 3 on both sides

d=2

4 0
3 years ago
Solve the inequality 4x&gt;36
tester [92]

Answer:

x = 9

Step-by-step explanation:

Let's solve your inequality step-by-step.

4x>36

Step 1: Divide both sides by 4.

4x 4 >36 4 x>9

<u>sorry, I got the text jammed up</u>

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