find quadratic polynomial the sum and product whose number are 1/4 and -1 respectively About the author Eva
Step-by-step explanation: We know that the general quadratic polynomial can be written as ax² + bx + c = 0 , where a,b,c are constants. We can also write this as :- x² – (-b/a)x + (c/a) = 0 – (1) Now, here -b/a is known as sum of the roots of polynomial and c/a as product of the roots. It is given that the sum is 1/4 and product is -1. Therefore, -b/a = 1/4 and c/a = –1. Replacing this in above equation (1) we get, x² – 1/4x – 1 = 0 or 4x² – x – 1 =0 , is the required equation. Reply
Step-by-step explanation:
We know that the general quadratic polynomial can be written as
ax² + bx + c = 0 , where a,b,c are constants.
We can also write this as :-
x² – (-b/a)x + (c/a) = 0 – (1)
Now, here -b/a is known as sum of the roots of polynomial and c/a as product of the roots.
It is given that the sum is 1/4 and product is -1.
Therefore, -b/a = 1/4 and c/a = –1.
Replacing this in above equation (1) we get,
x² – 1/4x – 1 = 0 or
4x² – x – 1 =0 , is the required equation.