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kaheart [24]
2 years ago
8

The quotient of (x⁴+ 5x³ 3x - 15) and (x³ - 3) is a polynomial. What is the quotient?

Mathematics
1 answer:
lesya [120]2 years ago
6 0

Answer:

x+5 (under assumption you meant to do -3x

Step-by-step explanation:

you can use long division.

Take the leading coefficient x^4 and divide it by x^3. This results in x which is going to be the first part of you quotient. Now take that x and multiply it by the divisor (x^3 - 3). This gives you x(x^3 - 3) = x^4 - 3x. Now subtract that x^4 - 3x from the original polynomial and repeat this until you can't divide anymore

x^4+5x^3-3x-15 - (x^4-3x) = 5x^3-15\\x^3/5x^3=5\\5(x^3-3) = 5x^3-15\\5x^3-15-(5x^3-15) = 0\\\\x+5

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2 years ago
PLEASE HELP!! It's due tomorrow.
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Step-by-step explanation:

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B. Axis of symmetry: x = 6

Axis of symmetry intersects directrix at (6,-2)

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C . Vertex is halfway between focus and directrix, at (6,1)

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D. The focus lies above the directrix, so the parabola opens upwards.

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E. Focal length p = 1/(4×0.5)

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