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Effectus [21]
3 years ago
13

Find a polynomial equation that has zeros at x = -4, x = 0, and a double root at x = 7.

Mathematics
1 answer:
Ksju [112]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Given a polynomial f(x) with roots say x = a and x = b, then the factors are

(x - a) and (x - b) and f(x) is the product of the roots, that is

f(x) = (x - a)(x - b)

Here the roots are x = - 4, x = 0 and double root at x = 7

Thus factors are (x - (- 4)), (x - 0), that is (x + 4) and x

Given a double root at x = 7 the factor is (x - 7)², thus polynomial is

y = x(x + 4)(x - 7)² → D

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Answer:

A

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O = 26.6

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Need more information so find either b or c through SOH, CAH, TOA

SOH: sine = opposite/hypotenuse

CAH: cos = adjacent/hypotenuse

TOA: tan = opposite/adjacent

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Plug b value into pythagorean theorm

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square root of 20 = square root of c^2

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c = QO

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3 years ago
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