Question

it one zero of polynomial kx^2+7x+12 is reciprocal of other then the value of k is​

Answer 1

■■■■■ Question ■■■■■

IF one zero of polynomial kx^2 + 7x + 12 is reciprocal of other then the value of k is

■■■■■ Solution ■■■■■

Let,

one zero of given polynomial = m

then other zero will be = 1 / m

In a quadratic polynomial

$\bf product \: of \: zeroes = \frac{constant \: term}{coeefficient \: of \: {x}^{2} }$

In the given quadratic polynomial

constant term = 12

coeffiecient of x^2 = k

so,

$\bf \: m \times \frac{1}{m} = \frac{12}{k} \\ \\ \bf \: \cancel{m} \times \frac{1}{ \cancel{m}} = \frac{12}{k} \\ \\ \bf \: 1 = \frac{12}{k} \\ \\ \boxed{ \bf \: k = 12}$

Therefore value of k is 12.