Check whether -3 and 3 are zeroes of the polynomial x^3-2x^2-11x+12
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Check whether -3 and 3 are zeroes of the polynomial x^3-2x^2-11x+12
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Answer:
Step-by-step explanation:
Let f(x)=x
3
+2x
2
−11x−12
Given : −1 is a zero of the polynomial , which means (x+1) is a factor of f(x)
Dividing f(x) by (x+1) we get
f(x) becomes:
f(x)=(x+1)(x
2
+x−12)
=(x+1)(x
2
+4x−3x−12)
=(x+1)(x−3)(x−4)
if f(x)=0
⇒(x+1)(x−3)(x+4)=0
either (x+1)=0 or (x−3)=0 or (x+4)=0
x=−1 or x=3 or x=−4
zeros of the polynomial are −1, 3 and −4
Verified answer
here is your answer
-3 is a zero of the polynomial but 3 is not a zero