if the sum of zeros of polynomial p(x) = (k2-14) x2 - 2x -12 is 1, then k takes the - Maths - Polynomials

Question

if the sum of zeros of polynomial p(x) = (k2-14)
x2 - 2x -12 is 1, then k takes the value

Pronay · Accepted Answer

$p (x) = (k^{2} - 14) x^{2} - 2 x - 12$

$Sum of zeros of polynomial p (x) = - \frac{coefficient of x}{coefficient of x^{2}} \Rightarrow 1 = \frac{2}{(k^{2} - 14)} \Rightarrow k^{2} - 14 = 2 \Rightarrow k^{2} = 16 \Rightarrow k = \pm 4$

if the sum of zeros of polynomial p(x) = (k2-14) x2 - 2x -12 is 1, then k takes the value

if the sum of zeros of polynomial p(x) = (k²-14) x² - 2x -12 is 1, then k takes the value