Question 10
PolynomialsIf (x + 1) is a factor of the polynominal x3 + px2 + x + 6 = 0, find the value of p.
- A.−8
- B.−4
- C.4
- D.8
Show the answer and explanation
Answer: B (−4)
Explanation
By the factor theorem f(−1) = 0: −1 + p − 1 + 6 = 0, so p = −4.
If (x + 1) is a factor of the polynominal x3 + px2 + x + 6 = 0, find the value of p.
Answer: B (−4)
By the factor theorem f(−1) = 0: −1 + p − 1 + 6 = 0, so p = −4.