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nirvana33 [79]
3 years ago
7

What is x^4-4x^3-32 in factored form

Mathematics
1 answer:
marishachu [46]3 years ago
3 0
Factoring: x4-4x3+8x-32

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 8x-32
Group 2: -4x3+x4

Pull out from each group separately :

Group 1: (x-4) • (8)
Group 2: (x-4) • (x3)
-------------------
Add up the two groups :
(x-4) • (x3+8)
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Answer:

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Step-by-step explanation:

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Answer:

Σ(-1)^kx^k for k = 0 to n

Step-by-step explanation:

The nth Maclaurin polynomials for f to be

Pn(x) = f(0) + f'(0)x + f''(0)x²/2! + f"'(0)x³/3! +. ......

The given function is.

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f''''(x) = 24/(1+x)^5

To calculate with a coefficient of 1

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Findinf Pn(x) for n = 0 to 4.

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P2(x) = 1 - x + x²

P3(x) = 1 - x+ x² - x³

P4(x) = 1 - x+ x² - x³+ x⁴

Hence, the nth Maclaurin polynomials is

1 - x+ x² - x³+ x⁴ +.......+(-1)^nx^n

= Σ(-1)^kx^k for k = 0 to n

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