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3 years ago

(x 4 - 81) (x - 3) . write answers in descending power of x. (division)

Mathematics

1 answer:

Zinaida [17]3 years ago

4 0

Answer:

x^3+3x^2+9x+27

Step-by-step explanation:

$\dfrac{x^4-81}{x-3}=\dfrac{(x^2-9)(x^2+9)}{x-3}=\dfrac{(x-3)(x+3)(x^2+9)}{(x-3)}\\\\=(x+3)(x^2+9)=x^3+3x^2+9x+27$

_____

The factoring of the difference of squares is used (twice):

a² -b² = (a -b)(a +b)

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Answer:

$27.75

Step-by-step explanation:

Multiply $2.25 by 11 to get the answer

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3 years ago

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Answer:

The interest After 6 years is $ 79.03

Step-by-step explanation:

Given as :

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3 years ago

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Abigail is 54 inches tall. Which of the following is Abigail's height?

4vir4ik [10]

Answer:

If you wanted it to be converted to ft, then her height would be: 4 ft , 5 inches

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Step-by-step explanation:

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3 years ago

Suppose $p(x)$ is a monic cubic polynomial with real coefficients such that $p(3-2i)=0$ and $p(0)=-52$. determine $p(x)$ (in exp

Maslowich

If $p(3-2i)=0,$ then complex number $3-2i$ is a root of cubic polynomial.

If polynomial has real coefficients, then conjugated $3+2i$ is also a root of polynomial.

Then the polynomial will be of a form

$p(x)=(x-(3-2i))(x-(3+2i))(x-a).$

Since $p(0)=-52,$ then

$-52=(0-(3-2i))(0-(3+2i))(0-a),\\ \\-52=(2i-3)(3+2i)a,\\ \\-52=(4i^2-9)a,\\ \\-52=(-4-9)a,\\ \\-13a=-52,\\ \\a=4.$

Therefore,

$p(x)=(x-(3-2i))(x-(3+2i))(x-4),\\ \\p(x)=(x^2-6x+13)(x-4),\\ \\p(x)=x^3-10x^2+37x-52.$

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3 years ago

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Galina-37 [17]

The answer would be A.

$198.45 x 5 days = $992.25

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2 years ago