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Classification of Polynomials According to Their Degree

If A=x3, B=4x...

Question

If $A = x^{3}, B = 4 x^{2} + x - 1, C = x + 1$ , then find (A-B)(A-C)

A

$x^{6} - 4 x^{5} + 2 x^{4} - 3 x^{3} + 5$

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B

$x^{6} + 4 x^{5} - 2 x^{4} + 4 x^{3} + 5 x^{2} - 1$

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C

$x^{6} - 4 x^{5} - 2 x^{4}$

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D

$x^{6} - 4 x^{5} - 2 x^{4} + 4 x^{3} + 5 x^{2} - 1$

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Solution

The correct option is D
$x^{6} - 4 x^{5} - 2 x^{4} + 4 x^{3} + 5 x^{2} - 1$

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Similar questions

\frac{1}{x^{3} - 2 x^{2} - x + 2} = \frac{A}{x - 1} + \frac{B}{x + 1} + \frac{C}{x - 2}

, then find the value of

A + B + C

\frac{x^{3}}{(x - a) (x - b) (x - c)} = 1 + \frac{A}{x - a} + \frac{B}{x - b} + \frac{C}{x - c}

A =

\frac{(x - 1)^{2}}{x^{3} + x} = \frac{A}{x} + \frac{B x + C}{x^{2} + 1}

A = . . ., B = . . ., C = . . .

x^{3} - 4 x^{2} + 6 x - 60

= (x - a) (x - b) (x - c)

a, b

c

should be factors of .

\int \frac{d x}{x^{4} + x^{3}} = \frac{A}{x^{2}} + \frac{B}{x} + ln ∣ \frac{x}{x + 1} ∣ + C

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