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91- 6303239042 🏹Dussehra (17-20 Oct)

Question 124

When the polynomial $$7x^3 - 3x^2 + ax - 5$$ is divided by $$x + 3$$, the remainder is -13. Then a =

Solution

$$Let\ f\left(x\right)=7x^3-3x^2+ax-5$$ Now according to remainder theorem, x+3=0 or x=-3 . Hence f(-3)=-13

-189-27-3a-5=-13 or -3a=308 or a=-308/3

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