find the factors of $(1 - x - x^{2} + x^{3})$

(1+x)

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(1-x)

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Solution

The correct options are
A
(1+x)

B
(1-x)

D

$(1 - x - x^{2} + x^{3}) = [1 - x + (- x^{2}) (1 - x)]$
= $(1 - x) (1 - x^{2})$
= $(1 - x) (1 - x) (1 + x)$

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Q. Factors of

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Question :

One of the factors of x⁵+x+1 is

(1) 2x² - x - 1

(2) x³ - x²+ 1

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(4) x³ + x² + 1

Q. Factors of

p (x) = x^{3} - x^{2} - x + 1

are

(x+1) is a factor of the polynomial
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(b) $x^{3} + 2 x^{2} - x - 2$
(c) $x^{3} + 2 x^{2} - x + 2$
(d) $x^{4} + x^{3} + x^{2} + 1$

Q. Resolve into factors

x^{3} + x^{2} - \frac{1}{x^{2}} + \frac{1}{x^{3}}

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find the factors of (1−x−x2+x3)

The correct options are A (1+x) B (1-x) D (1−x−x2+x3)=[1−x+(−x2)(1−x)] = (1−x)(1−x2) = (1−x)(1−x)(1+x)

find the factors of $(1 - x - x^{2} + x^{3})$

The correct options are
A
(1+x)

B
(1-x)

D

$(1 - x - x^{2} + x^{3}) = [1 - x + (- x^{2}) (1 - x)]$
= $(1 - x) (1 - x^{2})$
= $(1 - x) (1 - x) (1 + x)$