If one of the zeros of the cubic polynomial ax3 + bx2 + cx + d is 0 then the product of the other two zeros is

Q24 of 113 Page 65

If one of the zeros of the cubic polynomial ax³ + bx² + cx + d is 0 then the product of the other two zeros is

Let us assume and 0 be the zeros of the given polynomial

∴ Sum of the products of zeros taking two at a time is given by:

() =

The product of other two zeros will be

Hence, option B is correct

If α, β, γ be the zeros of the polynomial p(x) such that (α + β + γ ) = 3, (αβ + βγ + γ α) = ‒10 and αβγ = ‒24 then p(x) = ?

If two of the zeros of the cubic polynomial az³ + bx² + cx + d are 0 then in the third zero is

If one of the zeros of the cubic polynomial x³ + ax² + bx + c is –1 then the product of the other two zeros is

If α, β be the zeros of the polynomial 2x² + 5x + k such that then k = ?