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Firdavs [7]
2 years ago
11

Polynomial of lowest degree with zeros of 3/4 (multiplicity 2) and 1/3 (multiplicity 1) and with f(0) = -81

Mathematics
1 answer:
Natali [406]2 years ago
7 0

The polynomial is given by f(x) = 9(4x − 3)² (3x - 1) .

<h3>What is a Polynomial ?</h3>

A polynomial is an expression that consists of indeterminate , Coefficients , exponents and mathematical operations.

It is given that

The zero of the function is at 3/4 with multiplicity of 2 = (x - 3/4)²

The zero of the function is at 1/3 with multiplicity of 1 = (x - 1/3)

The polynomial can be written as

f(x) = a (4x − 3)² (3x - 1)

-81 = a (0 − 3)² (0 -1)

a = 9

f(x) = 9(4x − 3)² (3x - 1)

Therefore the polynomial is given by f(x) = 9(4x − 3)² (3x - 1) .

To know more about Polynomial

brainly.com/question/11536910

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Step-by-step explanation:

<u>Step 1: Define</u>

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<u>Step 2: Synthetic Division</u>

<em>See Attachment.</em>

To determine whether a given root is an actual root, the remainder must equal 0. Since we have a remainder of -50, the given root is not a factor of the polynomial.

<em>Please excuse the bad handwriting. Hope this helped!</em>

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First you have to find the slope of the graph or the rise over run, which in this case is 2

Then you have to find the y intercept, which is zeroSo the rule for thos graph is y=2x+0.

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  B. 10 months

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IMO, it makes no sense to round down, as Josh will NOT have enough in 10 months. He will have enough after he makes one more payment of $80. At 10 months, the loan balance is $50 more than the savings balance. It will be 11 months before there is enough savings to pay off the loan.

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