Home
Class 10
MATHS
Given that zeros of the cubic polynomial...

Given that zeros of the cubic polynomial `f(x) = x^(3) - 6x^(2) + 3x + 10` are the form a, a +b, a + 2b for some a, b `in` R, find a and b and the zeros of f(x) .

Text Solution

Verified by Experts

The correct Answer is:
`- 1, 2 and 5`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Higher order thinking skills [HOTS])|10 Videos

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Competitive exam questions )|5 Videos

  • POLYNOMIALS

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Short answer [SA] type II questions )|17 Videos

  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS - HIGHER ORDER THINKING SKILLS (HOTS)|12 Videos

  • PROBABILITY

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS HOTS [HIGHER ORDER THINKING SKILLS]-QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

Find the zeroes of the given polynomials. p(x)=3x

Find the zeroes of the polynomial P (x) = x^(2)-3

Find the zeroes of the given polynomials. p(x)=x^(2)+5x+6

Find zero of the polynomial p (x) = 3x +1

Find the zeroes of the given polynomials. p(x)=(x+2)(x+3)

What are zeros of the the polynomial x^(2) - 2x - 3 ?

Find the zeroes of polynomial p(x) = 6x^(2) -3 - 7x

The number of zeroes of the polynomial x^(3)-x-3 - 3x^(2) is:

If x = 1 is a zero of the polynomial f(x) = x^3 – 2x^2 + 4x + K , then the value of Kis:

The third zero of a polynomial f(x) = 2x^(3) + 3x^(2) - 5x + 10 whose product to two zeros is 5.