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Remainder Theorem

What is the r...

Question

What is the remainder when $5 x^{2} + 3 x + 7$ is divided by $x + 9$ ?

429

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386

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385

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387

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Solution

The correct option is C $385$
$f (x) = 5 x^{2} + 3 x + 7$

By remainder theorem,
$f (- 9) = 5 \times (- 9)^{2} + 3 \times (- 9) + 7$
$= 81 \times 5 - 27 + 7$
$= 405 + 7 - 27$
$= 412 - 27$
$= 385$

The remainder when $5 x^{2} + 3 x + 7$ is divided by $x + 9$ is $385$ .

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