Find the value of a, if x + 1 is the factor of the polynomial x³ + ax² - x + 2?
- -2
- -1
- 3
- None of these
Explanation
Given that x + 1 is a factor of the polynomial x³ + ax² - x + 2, we know that (-1) is a root of the polynomial.
Let's plug in x = -1 into the polynomial:
(-1)³ + a(-1)² - (-1) + 2 = 0
-1 + a + 1 + 2 = 0
a + 2 = 0
Subtract 2 from both sides:
a = -2
Related MCQs
- 8x + 5 = 0
- 8(x + 5) = x
- 8x = x + 5
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- (x+5)(x−4)/(x−2)(x+2)
- x+5/x+2
- x−4/x−2
- x+5/x−2
اس سوال کو وضاحت کے ساتھ پڑھیں
- 20
- 25
- 30
- 35
اس سوال کو وضاحت کے ساتھ پڑھیں
