Question

If (x + 2) is a factor of x2 - x + m, then the value of m is :​

Answer 1

Answer:

Hence x = -2 is a zero of the polynomial p(x). Hence m = 9. Hence the value of m at which p(x) is divisible by x+2 is 9.

Step-by-step explanation:

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Answer 2

The value of m is - 6

Given : (x+2) is factor of $x^{2} -x+m$.

To Find : The value of m.

Solution :

• Let p(x) = $x^{2} -x+m$
• $x+2=0$
• $x=-2$
• Therefore, $p(-2)=0$
• $(-2)^{2} -(-2)+m=0$
• $4+2+m=0$
• $6+m=0$
• $m=-6$
• Hence, The value of m is - 6