1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Which of the following is a zero of the polynomial p(x)=x2âˆ’4x+4 ?

A
4
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
B
1
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
C
2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
8
No worries! Weâ€˜ve got your back. Try BYJUâ€˜S free classes today!
Open in App
Solution

## The correct option is C 2Zero of a polynomial is the point at which the value of polynomial becomes zero. If a is a factor of p(x), then from factor theorem, we have p(a) = 0. Substituting the options in p(x), we get; p(4)=42−4(4)+4=16−16+4 =4≠0 p(1)=12−4(1)+4=1−4+4 =1≠0 p(2)=22−4(2)+4=4−8+4 =0 p(8)=82−8(4)+4=64−32+4 =36≠0 Here the value of polynomial P(x) becomes zero at x = 2. Hence, 2 is the zero of the polynomialx2−4x+4.

Suggest Corrections
1
Join BYJU'S Learning Program
Related Videos
Remainder Theorem
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program