Question

find the zeros of the cubic polynomial 4x^3+10x^2+6x and verify the relation between zeros and the coefficients. class-10

Answer 1

Answer:

Take 2x common from the polynomial.

so, we get the first zero(say α) ⇒2x=0⇒x=0

now,solve the quadratic polynomial in the bracket,

by prime factorization,

[∵2×3=6 and 2+3=5]

we get,

Thus the other two zeroes(say β and ω) are

(-3/2) and (-1)

verification→

α+β+ω=0-3/2-1=(-5/2)

also,-b/a=(-10/4)=(-5/2)

αβ+βω+ωα=0+(-3/2×-1)+0=3/2

also,c/a=6/4=3/2

αβω=0×-3/2×-1=0

also,-d/a=0/4=0

Step-by-step explanation:

hope my answer help you