Question

When f(x)=x²+5x-1 is divided by (x+2), the remainder is:
a. 6
b. 7
c. -6
d. -7​

Answer 1

Answer:

The correct answer is option (d)

Step-by-step explanation:

Concept :

Remainder theorem states that if a polynomial $P(x)$ is divided by $x-a$, then remainder is $P(a)$.

Here we have $f(x)=x^2+5x-1$ and divisor $x+2=x-(-2)\Rightarrow a=-2$

Thus the remainder is $=f(-2)=(-2)^2+5(-2)-1=4-10-1=-7$