Question

if
l Zero of the polynomial 2x² + 3x + P is 1/2 Lind the
Value of P and also find the value of Other 0​

Answer 1

Answer:

P = - 2, Another zero = - 2

Step-by-step explanation:

f(x) = 2x² + 3x + P

Given that 1/2 is the zero of the polynomial.

So, f(1/2) = 0

2(1/2)² + 3(1/2) + P = 0

2 + P = 0

P = - 2

Hence, the polynomial becomes :

f(x) = 2x² + 3x - 2

By Middle Term Factorisation

= 2x² + 4x - x - 2

= 2x(x + 2) - 1(x + 2)

= (2x - 1)(x + 2)

To find the zeroes, f(x) should be equal to 0.

Therefore,

(2x - 1)(x + 2) = 0

By Zero Product Rule

(2x - 1) = 0 and (x + 2) = 0

x = 1/2 and x = - 2