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Dvinal [7]
3 years ago
5

Which of the following is a polynomial with roots 4, 2i, and −2i?

Mathematics
2 answers:
ivolga24 [154]3 years ago
3 0
Hello,

(x+2i)(x-2i)(x-4)=(x²+4)(x-4)=x^3-4x²+4x-16

Answer C
maks197457 [2]3 years ago
3 0
X = 4; x = 2i; x = -2i

f(x) = (x - 4)(x - 2i)[x - (-2i)] = (x - 4)\underbrace{(x-2i)(x+2i)}_{a^2-b^2=(a-b)(a+b)}\\\\=(x-4)[x^2-(2i)^2]=(x-4)(x^2-2^2i^2)=(x-4)[x^2-4(-1)]\\\\=(x-4)(x^2+4)=(x)(x^2)+(x)(4)-(4)(x^2)-(4)(4)\\\\=x^3+4x-4x^2-16=\boxed{x^3-4x^2+4x-16}


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john read the first 114 pages of a novel which is 3 pages less than 1/3 of the novel. write the equation
tatyana61 [14]

The equation is:

114=\frac{p}{3}-3

And

Total number of pages are 351

Step-by-step explanation:

The equation has to be formed by using the given information.

Let p be the total number of pages in the novel

Then

1/3rd of the p will pe:

\frac{p}{3}

Total pages read by John = 114

Then according to the statement

114=\frac{p}{3}-3

We can solve the equation to get the total pages of the novel

114=\frac{p}{3}-3\\Adding\ 3\ on\ both\ sides\\114+3=\frac{p}{3}-3+3\\117=\frac{p}{3}\\Multiplying\ both\ sides\ by\ 3\\3*117 = \frac{p}{3}*3\\p=351

The equation is:

114=\frac{p}{3}-3

And

Total number of pages are 351

Keywords: Linear equation, variable

Learn more about linear variable at:

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Is this right
pychu [463]

Answer:

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At the souvenir shop. Theo buys k key chains and p photo frames
stealth61 [152]

Answer:

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Step-by-step explanation:

Cost of k key chain=$2.49

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Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt

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Factorise

2.49 is common to both k and p

=2.49(k + p) + 5.99

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

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