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Licemer1 [7]
2 years ago
13

Write a polynomial function of least degree with integral coefficients that have the given zeros. 4,-1,6 f(x)=x^3-9x^2+14x+24

Mathematics
1 answer:
AlladinOne [14]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given the zeros of a polynomial, say x = a, x = b, x = c

Then (x - a), (x - b), (x - c) are it's factors

and the polynomial is the product of the factors

here x = 4, x = - 1, x = 6, hence

(x - 4), (x + 1) and (x - 6) are the factors

f(x) = a(x - 4)(x + 1)(x - 6) ← a is a multiplier

let a = 1, then expanding the first pair of factors

f(x) = (x² - 3x - 4)(x - 6) ← expand out the factors

    = x³ - 3x² - 4x - 6x² + 18x + 24 ← collect like terms

    = x³ - 9x² + 14x + 24



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5/−1

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3 years ago
Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be abo
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Answer: 64 lbs

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2 years ago
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What is the definition of the Angle Addition Postulate?
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2 years ago
What is the sum -1 1/5 + (-3/5)
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3 0
3 years ago
Plane traveled 1120 miles each way to Munich and back. The trip there was with the wind. It took 10 hours. The trip back was int
kotegsom [21]

Answer:

  • 84 mph and 28 mph

Step-by-step explanation:

Let the speed of plane is p and speed of the wind is w.

<u>Then we have:</u>

  • 10*(p + w) = 1120 ⇒ p + w = 112
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<u>Find w:</u>

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2 years ago
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