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Standard X

Mathematics

Remainder Theorem

The remainder...

Question

The remainder obtained when the polynomial $p (x) = x^{7} + 9 x^{5} + 5 x^{3} + x - 1$ is divided by $(x - 1)$ is:

15

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Solution

The correct option is A $15$
Using remainder theorem, remainder when $p (x)$ is divided by $(x - 1)$ is $p (1)$ .

$p (1) = 1^{7} + 9 \times 1^{5} + 5 \times 1^{3} + 1 - 1$
$p (1) = 15$

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The remainder obtained when the polynomial p(x)=x7+9x5+5x3+x−1 is divided by (x–1) is:

The correct option is A 15Using remainder theorem, remainder when p(x) is divided by (x−1) is p(1). p(1)=17+9×15+5×13+1−1 p(1)=15

The remainder obtained when the polynomial $p (x) = x^{7} + 9 x^{5} + 5 x^{3} + x - 1$ is divided by $(x - 1)$ is:

The correct option is A $15$
Using remainder theorem, remainder when $p (x)$ is divided by $(x - 1)$ is $p (1)$ .

$p (1) = 1^{7} + 9 \times 1^{5} + 5 \times 1^{3} + 1 - 1$
$p (1) = 15$