Question

The zero of the polynomial p(x) = -9x + 9is: 1 true or false ​

Answer 1

Step-by-step explanation:

Let p(x)=x4+4x3−x2−16x−12=(x2−4)(x2−4x+3)

Zeroes of the polynomial =2,−1,−3

We know that if a is zero of a polynomial then it must satisfy p(a)=0

Now,

p(2)=(4−4)(22+4×2+3)=0

p(−2)=(4−4)((−2)2+4×(−2)+3)=0

p(−1)=(1−4)((−1)2+4×(−1)+3)=0

p(−3)=(9−4)((−3)2+4×(−3)+3)=0

Since, p(2)=p(−2)=p(−1)=p(−3)=0 

∴2,−2,−1, and −3 are zeroes the polynomial p(x).

Hence, A is the correct answer.