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2 years ago

Form a polynomial whose zeros and degree are given. Zeros: 2, multiplicity 1; 4, multiplicity 2; degree 3

Mathematics

1 answer:

jek_recluse [69]2 years ago

6 0

Answer:

If the polynomial is degree 3, then it is of the form y = Ax3 + Bx2 +Cx + D

And if the zeros are -2 with multiplicity of 1, then the factor is (x+2)1 = x+2

The other zero is -4 with multiplicity of 2, so it's factor is (x+4)2 = x2 +8x+16

So in general, if we let A = 1, then the polynomial is y = (x+2)(x+4)2 which multiplies out to

(x+2)(x2+8x+16) = x3 + 8x2 + 16x + 2x2 + 16x + 32

Combining like terms gives the polynomial:

y = x3 +10x2 + 32x + 32

If A is not 1, then y = A(x3 +10x2 + 32

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tatiyna

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Blababa [14]

Answer:

D) 0.78, 0.029

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

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This means that $p = 0.78$

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So the correct answer is given by option D.

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3 years ago

Form a polynomial whose zeros and degree are given. ​Zeros: 2​, multiplicity​ 1; 4​, multiplicity​ 2; degree 3

Form a polynomial whose zeros and degree are given. Zeros: 2, multiplicity 1; 4, multiplicity 2; degree 3