Question

if sum of the zeros of polynomial x is equal to K X square + 4 x minus 35 in -1 find k​

Answer 1

p(x) = kx² +4x -35

p(-1) = k(-1)² + 4(-1) -35

= k -4-35 = 0

k = 35 +4

k = 39

Answer 2

Answer :

The required value of k is 4

Given :

The quadratic polynomial is :

• kx² + 4x - 35
• -1 is is the sum of the zeroes of the polynomial

To Find :

• The value of k

Concept to be used :

Relationship between the zeroes and the coefficients of the polynomial

$\bullet \: \: \rm sum \: \: of \: the \: zeroes = - \dfrac{coefficient \: of \: {x} }{coefficient \: of \: {x}^{2} }$

$\rm \bullet \: \: product \: of \: the \: zeroes = \dfrac{constant \: term}{coefficient \: of \: {x}^{2} }$

Solution :

Given, the sum of the zeroes is -1

From the relationship of sum of zeroes we have :

$\implies \rm - 1 = - \dfrac{4}{k} \\ \\ \implies \rm k = \dfrac{ - 4}{ - 1} \\ \\ \implies \boxed {\boxed{ \bf k = 4}}$

Note :

There are few mistakes in the question still it can be understood. The mistakes are in words and prepositions and not with data.

Correct Question :

If the sum of the zeroes of a polynomial , p(x) = kx² + 4x - 35 is k , find k .