Question

For the polynomial ay²+2y-6 if p(-3)=15 then find the value of a

Answer 1

Answer:

Given : P (y)= ay^2 +2y-6

p(-3) = a(-3)^2 + 2* (-3) -6

15 = 9a -12

27= 9a

a=3

Answer 2

Given,

A polynomial p(y) = ay²+2y-6

The value of the polynomial at y = (-3) is equal to 15.

To find,

The value of a.

Solution,

We can simply solve this mathematical problem using the following process:

According to the question;

The value of the polynomial at y = (-3) is = 15

=> the value of the polynomial when it is simplified by substituting y with (-3) = 15

=> a(-3)²+2(-3)-6 = 15

=> 9a - 6 - 6 = 15

=> 9a = 15+6+6 = 27

=> a = 27/9 = (9×3)/9 = 3

=> a = 3

Hence, the value of a is 3.