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Factors

If x3 -4x2 + ...

Question

If $x^{3} - 4 x^{2} + 6 x - 60$
$= (x - a) (x - b) (x - c)$ , then $a, b$ and $c$ should be factors of .

-4

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-60

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Solution

The correct option is C -60

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Similar questions

(x - 2)

x^{3} - 4 x^{2} + a x + b

x^{3} - a x^{2} + b x + 8

a

b

If a,b and c are three nonzero numbers and the polynomial p(x) = x³+ ax² + bx - c factors as (x - a) (x - b ) (x - c ), then the value of p(3) is

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

A =

x^{3} - 6 x^{2} + 3 x + 10 = (x + a) (x - b) (x - c)

b + c =

a x^{2} + b x + c

b x^{2} + a x + c

x + 1

c = 0

a = b

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