If a x-b is factor of px- thenA- p b - a -0B- pb-0C- p-b - a-0D- pa-0

The correct option is A p(b/a) = 0 ax b is a factor of p(x) ⇒ The zero of ax b is (b/a) ⇒ p(b/a) = 0 ...

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If a x-b is f...

Question

If $(a x - b)$ is factor of $p (x)$ , then

p(b) = 0

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p(-b/a) = 0

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p(a) = 0

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p(b/a) = 0

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Solution

The correct option is D
p(b/a) = 0

$a x - b$ is a factor of $p (x)$

$\Rightarrow$ The zero of $a x - b$ is $(\frac{b}{a})$

$\Rightarrow p (\frac{b}{a}) = 0$

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If (ax − b) is factor of p(x), then

The correct option is D p(b/a) = 0 ax − b is a factor of p(x) ⇒ The zero of ax − b is (ba) ⇒ p(ba) = 0

If $(a x - b)$ is factor of $p (x)$ , then

The correct option is D
p(b/a) = 0

$a x - b$ is a factor of $p (x)$

$\Rightarrow$ The zero of $a x - b$ is $(\frac{b}{a})$

$\Rightarrow p (\frac{b}{a}) = 0$