Question

find quardratic polynomial whose one of the zeros is _15 and sum ofzeros is 42

Answer 1

Heya !!!

Here is your answer.

Given :
Let a and b be two zeroes.
Sum of Zeroes, a + b = 42
One zero is -15 .

So, -15 + b = 42
b = 57

Now, product of zeroes = 57 × -15 = -855

Using
p(x) = kx² - ( sum of zeroes)x + (product of zeroes)
= x² - 42x + (-855)
= x² - 42x - 855

Hope It Helps

Answer 2

Heya !!!

Let Alpha = -15



Sum of zeroes = 42



Alpha + Beta = 42

-15 + Beta = 42


Beta = 42+15


beta = 57



Product of zeroes = Alpha × beta = -15 × 57 = -855



Therefore,


Required Quadratic polynomial = X²-(Sum of zeroes)X + Product of zeroes

=> X²-(42)X + (-855)





=> X²-42X - 855.

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