Question

8. Find the value of each of the following polynomials
at the indicated values of variables
p(y) = 5y2 + 4; y =
- 2/√5,2/√5​

Answer 1

Answer:

8,8

Step-by-step explanation:

Given that, p(y)=5y^2+4

let, p(y)=5y^2+4=0

=>5y^2+4=0

=>5y^2=-4

=>y^2=-4/5

=>y=-√(4/5) or +√(4/5)

=>y=-2/√5 or +2/√5

now, according to question it is given that to find the value of polynomial at

y=-2/√5,2/√5

so, consider y=-2/√5

p(-2/√5)=5(-2/√5)^2+4 =5(4/5)+4 =4+4 =8

p(2/√5)=5(2/√5)^2+4 =5(4/5)+4 =4+4 =8

therefore,

the value of the polynomial at 2/√5 is 8

the value of the polynomial at -2/√5 is also 8.

Hope this would be helpful for you