Question

Find the value of 'k' if the polynomial p (x) is equal to 3 x square - 7 x + 2 leaves a remainder -1 when divided by (X + k)?​

Answer 1

Answer:

This is the answer to your question.

Step-by-step explanation:

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Answer 2

The best thing about the 'remainder theorem' is we don't need to actually divide.

So let's use remainder theorem here.

P(x)=(x+k)Q(x)+R : The zero of (x+k)Q(x) is -k

Put x=-k and we have : Volla! P(-k)=R

→ P(-k)=-1

→ $3k^2+7k+2=-1$

→ $3k^2+7k+3=0$ → $\frac{-7\pm\sqrt{49-36} }{6}$ → $k=\frac{-7\pm \sqrt{13} }{6}$

Which leads us to the conclusion $k=\frac{-7\pm \sqrt{13} }{6}$

Math was born for one goal, to find simple solutions.

I hope you enjoyed, because math should not be hard.

Hope it helps!