Question

verify that 3 and -2 are the zeros of quadratic polynomial p(x) = x²-x-6 and verify the relationship between the zeros and the coefficient​

Answer 1

Answer:

Step-by-step explanation:

Let,

P(3)=3  

2

−3−6=9−9=0

P(−2)=(−2)  

2

−(−2)−6

=4+2−6=0

P(3)=0 and P(−2)=0

∴3 and −2 are the zeroes of the polynomials

x²−x−6

sum of zeroes (α+β)= 3+(-2)=3-2=1

=1/1=coef.of x/coeff.of x²

product of zeroes (αβ)= (3)(-2)=-6  = 6/1 =conatant term / coffi.of x²