Find a quadratic polynomial whose zeroes are -4 and 2
By BYJU'S Exam Prep
Updated on: September 25th, 2023
We know that a quadratic polynomial is of the form f(x) = ax2+bx+c and a ≠ 0
A quadratic polynomial in terms of zeroes (α,β) is written as
x2 -(sum of the zeroes) x + (product of the zeroes)
Table of content
So we get
f(x) = x2 -(α +β) x +αβ
It is asked to find a quadratic polynomial whose zeroes are -4 and 2.
Zeroes of a quadratic polynomial are -4 and 2
Consider α = -4 and β= 2
Now substitute α = -4 and β= 2 in f(x) = x2 -(α +β) x +αβ
f(x) = x2 – ( -4 + 2) x +(-4)(2)
We get
f(x) = x2 – 2x -8
Therefore, when asked to find a quadratic polynomial whose zeroes are -4 and 2, then the answer will be a quadratic polynomial whose zeroes are -4 and 2 is x2 – 2x – 8.
Summary:
Find a quadratic polynomial whose zeroes are -4 and 2.
A quadratic polynomial whose zeroes are -4 and 2 is x2 – 2x – 8.
Related Questions:-
- Places A And B Are 100km Apart On A Highway One Car Starts From A And Another From B At The Same Time If The Cars Travel In The Same Direction At Different Speeds?
- A And B Can Together Finish A Work In 30 Days They Worked Together For 20 Days And Then B Left After Another 20 Days A Finished The Remaining Work?
- A B And C Can Do A Piece Of Work In 20 30 And 60 Days Respectively In How Many Days Can A Do The Work If He Is Assisted By B And C On Every Third Day?
