Question

If zeroes of the polynomial x2+4x+2a are 2 and 5 tgen find the value of a

Answer 1

Hey Friend ☺

If 2 is zero of the polynomial p ( x ) = x^2 + 4x + 2a

Then p ( 2 ) = 0

So

p ( 2 ) = x^2 + 4x + 2a .

》0 = ( 2 )^2 + 4 ( 2 ) + 2a

》0 = 4 + 8 + 2a

》0 = 12 + 2a .

》2a = - 12

》a = - 6

Hope it helps you ..!!

✌

Answer 2

Hii friend,

2 and 5 are the two zeros of the polynomial X²+4X+2a.

2 and 5 are factor of the given polynomial.

Put X = 5 in P(X)

P(X) = X²+4X+2a

P(2) = (2)² + 4 × 2 + 2a

4 + 8 + 2a = 0

12+2a = 0

2a = -12

a = -12/2

a = -6.


HOPE IT WILL HELP YOU..... :-)