Q. 44.0( 36 Votes )

<span lang="EN-US

Answer :


A zero or root of a polynomial function is a number that, when plugged in for the variable, makes the function equal to zero.

Therefore, if p(x)=0, for a given x then the value of x is zero of polynomial.


p(x) = 4x2 + 3x – 1


For 1/4,


p(1/4) = 4(1/4)2 + 3(1/4) – 1


p(1/4) = 1/4 + 3/4 – 1


p(1/4) = 1 – 1


p(1/4) = 0


Therefore, x = 1/4 is a zero of the polynomial 4x2 + 3x – 1.


For -1,


p(-1) = 4(-1)2 + 3(-1) – 1


p(-1) = 4 – 3 – 1


p(-1) = 4 – 4


p(-1) = 0


Therefore, x = -1 is a zero of the polynomial 4x2 + 3x – 1.


Hence, x = 1/4 and x = -1 are zeroes of the polynomial 4x2 + 3x – 1.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

<span lang="EN-USAP- Mathematics

<span lang="EN-USAP- Mathematics

<span lang="EN-USAP- Mathematics

<span lang="EN-USAP- Mathematics

<span lang="EN-USAP- Mathematics

<span lang="EN-USAP- Mathematics

<span lang="EN-USAP- Mathematics

<span lang="EN-USAP- Mathematics