Question

Find a cubic polynomial whose zeroes are -1, 2 and -3. class 10 ​

Answer 1

ANSWER-

Given,

-1, 2 and -3 are the zeroes of the polynomial.

So,

α = -1, β = 2 and γ = -3

=> α + β + γ = -1 + 2 +( -3)  = -2

=>αβ + βγ  + γα = ( -1*2) + (2*-3) + (-3*-1) = -2 + -6 + 3 = -5

=> αβγ =  -1 * 2 *( -3) = 6

=> a(x³- (α + β + γ)x² + (αβ + βγ  + γα)x + αβγ

=> x³ + 2x² -5x + 6

Hence , x³ + 2x² -5x + 6 is the  cubic polynomial whose zeroes are -1, 2 and -3.

HOPE IT HELPS:)