Question

If the polynomial 2x cube -9x square +15x +P when divided by (x-2) leaves remainder -p. Find the value of p

Answer 1

Answer:

Step-by-step explanation:

Answer 2

${\bold{\huge{\mathcal{\purple{Hëy Frïèñd....}}}}}$

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Here is the Solution...

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${\boxed{Step\:By\:Step\:Explanation}}$

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( I am solving This One By Remainder Theorem

As Division method is already answered..)

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Let f(x) = 2x³ - 9x² + 15x + p

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${\bold{By\:Remainder\:Theorem}}$

On dividing f(x) by (x - a), remainder is equal to f(a).

So

On dividing f(x) by (x - 2), remainder = f(2).

But, f(2) = -p

Therefore...

• 2(2)³ - 9(2)² + 15(2) + p = -p

• 16 - 36 + 30 + p = -p

• 46 - 36 = -p - p

• 10 = -2p

• $\frac{10}{-2} = p$

• p = -5




${\blue{\bold{\huge{\boxed{Answer, \: p = -5}}}}}$

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(Whichever method is easy for you, use that only)

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I Hope This Will Help You ❣️