Question

if 2 is a zero of polynomial p(x)=2x square minus 3x plus 7a find the value of a​

Answer 1

Since it is given that 2 is the zero of polynomial p(x), then p(2) must be equal to zero.

so, p(2) = 0

=> 2(2)^2 - 3(2) + 7a = 0

=> 8 - 6 + 7a = 0

=> 2 + 7a = 0

=> a = -2/7.

Answer 2

Solution:

Given polynomial :

• 2x² - 3x + 7a

Given zero :

• 2

We've to find the value of a.

Put x = 2 in given polynomial :

→ 2(2)² - 3(2) + 7a

→ 2(4) - 6 + 7a

→ 8 - 6 + 7a

→ 2 + 7a

Equate it to zero,

→ 7a = -2

→ a = -2/7

Hence, value of a is -2/7.