If – 1 is a zero of the polynomial p(x) = ax3 – x2 + x + 4, then find the value of ‘a’.
Answers
Answered by
170
Putting x=-1
ax³-x²+x+4=0
a(-1)³-(-1)²+(-1)+4=0
a(-1)-(1)-1+4=0
-a-2+4=0
a=2
ax³-x²+x+4=0
a(-1)³-(-1)²+(-1)+4=0
a(-1)-(1)-1+4=0
-a-2+4=0
a=2
Anonymous:
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Answered by
37
Given:
(-1) is a zero of the polynomial p(x)= ax3- x2+x+4
To find:
The value of a
Solution:
We can find the solution by following a few steps-
We know that the zero of a polynomial makes the value of the polynomial zero.
So, p(-1)=0
The polynomial given is
On substituting x as -1, we get
Therefore, the value of a is 2.
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