If -1 is a zero of the polynomial p(x) = ax³ - x² + x + 4, find the value of a
Question
If -1 is a zero of the polynomial p(x) = ax³ - x² + x + 4, find the value of a
Solution
To find the value of 'a', we need to substitute -1 into the polynomial equation and set it equal to zero, because -1 is given as a zero of the polynomial.
So, we have:
0 = a*(-1)³ - (-1)² + (-1) + 4 0 = -a - 1 - 1 + 4 0 = -a + 2
Solving for 'a', we get:
a = 2
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