Home
Class 10
MATHS
Find a quadratic polynomial whose sum an...

Find a quadratic polynomial whose sum and product of zeros are respectively `-2 sqrt(3) and -9`

Text Solution

Verified by Experts

The correct Answer is:
`x^(2) + 2 sqrt(3) x - 9`
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

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

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( Long answer [LA] type questions )|13 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 a quadratic polynomial, the sum and product of whose zeroes are -3 and 2 respectively.

The quadratic polynomial whose sum of zeros is 3 and product of zeros is -2 is

Find a quadratic polynomial whose sum and product, respectively, of zeros are given. Also find the zeros. i] - (3)/(2 sqrt(15)),-(1)/(2) ii] (21)/(8),(5)/(16)

Find a quadratic polynomial with zeroes -2 and 1/3 .

Find the quadratic polynomial whose zeroes are 2 and (-1)/(3)

Given a quadratic polynomial whose sum of zeros is 2 sqrt(3) and their product is 2 .

Find a quadratic polynomial each with the given number as the sum and product of its zeroes re-spectively. i] (1)/(4), -1 ii] sqrt(2), (1)/(3) iii] 0,sqrt(5) iv] 1,1 v] - (1)/(4),(1)/(4) vi] 4,1

Write one quadratic polynomial that has one zero.

(i) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. 1/4,-1 (ii) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. sqrt2,1/3 (iii) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. 0,sqrt5 (iv) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. 1,1 (v) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. -1/4,1/4 (vi) Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. 4,1