How do you use the remainder theorem to determine the remainder when $5w^3 – 2w + 10$ is divided by w + 3?

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Answer 1 · 2016-03-23T09:48:50

Remainder is $-119$

According to remainder theorem, if a polynomial $f(x)$ is divided by a $(x-a)$ , then the remainder is given by $f(a)$ .

Hence when $f(w)=5w^3-2w+10$ is divided by $(w+3)$ , the remainder is given by $f(-3)$

ie. $5(-3)^3-2(-3)+10$

= $5xx(-27)+6+10$

= $-135+16=-119$

How do you use the remainder theorem to determine the remainder when 5w^3 – 2w + 105w^3 – 2w + 10 is divided by w + 3?