Question

Q . If the zeroes of the quadratic polynomial x² + (a + 1) x + b are 2 and -3, then what is the value of a and b ?
PLEASE GIVE FULL EXPLANATION FOR THIS QUESTION AND I WILL MARK YOU AS THE BRAINLIEST

Answer 1

Answer:

a = 0 , b = -6

Step-by-step explanation:

If α and β are the zeroes of quadratic equation then:

then α+β= -(a+1)

-(a+1) = 2+(-3) = -1    (given α=2 , β= -3)

-a-1=-1

a=0

αβ = b         (given α=2 , β= -3)

b=(2)(-3)

b= -6

Equation will be x²+x-6=0

x²+3x-2x-6=0

x(x+3)-2(x+3)=0

(x-2)(x+3)=0

x=2 , x=-3