Question

Find the value of m, if the polynomial is $4x^2-mx+1$. The sum of the zeroes of the polynomial is $2$.

• A. $4$
• B. $8$
• C. $-8$
• D. $-4$

Answer 1

Answer: (B)

$8$

In the given polynomial, $4x^2-mx+1$
$a=4,b=-m,c=1$
Relationship between zeroes and coefficient of the polynomial:
Sum of the zeroes $=$ $\frac{Coefficientofx}{Coefficientof{x}^2}=\frac{-b}{a}$
$2=\frac{-(-m)}{4}$
$2\times 4=m$
$\therefore m=8$