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Factor Theorem

If x+a is a f...

Question

If ( $x + a$ ) is a factor of a polynomial f( $x$ ), then f(a) = 0.

True

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False

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Solution

The correct option is B False

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x + a

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When a polynomial $f (x)$ is divided by $x - a$ and if $f (a)$ = 0, then $x - a$ is a factor of the polynomial $f (x)$ .

\frac{f (x)}{(x - a)}

If f(x) is a polynomial such that f(a) = f( $\frac{b}{2}$ ) = f( $\frac{c}{3}$ ) = 0, then which of the following expressions is a factor of f(x)

f (x)

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^{'} a^{'}

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f (x)

f (a) = 0

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

x - 3.

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