Question

If p(x)=5x-10 is divided by x-√2 then find remainder?

Answer 1

_10+5root2 May be the answer

Answer 2

$\underline { \pink { Remainder \: Theorem }}$

If p(x) is any polynomial of degree greater than or equal to 1 and p(x) is divided by the linear polynomial (x-a) , then the remainder is p(a).

$Here , Polynomial \: p(x) = 5x - 10 \:is \:divided \: by \: (x- \sqrt{2}) \: then \: the \\ Remainder \: is \: p(\sqrt{2})$

$\red { Remainder = p(\sqrt{2})} \\= 5 \times \sqrt{2} - 10 \\= 5\sqrt{2} - 10$

Therefore.,

$\red{Remainder } \green {= 5\sqrt{2} - 10}$

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