Question

find a quadratic polynomial whose sum of zeroes is -1 and product is -6 ​

Answer 1

required Polynomial is x² - x + 6 = 0

Explanation ;-

General form : x² + (α+β)x - (αβ)

given that ,

α+β = -1 , αβ = -6

so , then

x² +(-1)x -(-6)

= x² -x + 6 is the required polynomial

More Information :-

• x²+(α+β)x - (αβ)
• roots are α, β
• sum of zeros , α+β = -b/a
• product of zeros , αβ = c/a