Question

find k and m if sum of zeros is "-8" and product of zeros is 5 if p(x) = 4x^2+kx+2m+1​

Answer 1

Answer:

The answer is $k=32, m=\frac{19}{2}$

Step-by-step explanation:

Concept :   For the quadratic polynomial $ax^2+bx+c$

                 Sum of zeroes $=-\frac{b}{a}$ and Product of zeroes $=\frac{c}{a}$

Here the polynomial is $p(x)=4x^2+kx+(2m+1)$

                  So sum of zeroes $=-\frac{k}{4}$

                   $\Rightarrow -8=-\frac{k}{4}\\\Rightarrow k=32$

                 And product of zeroes $=\frac{2m+1}{4}$

                  $\Rightarrow 5=\frac{2m+1}{4}\\\Rightarrow 2m+1=20\\\Rightarrow m=\frac{19}{2}$