FORMATION OF QUADRATIC EQUATION FROM GIVEN ROOTS WORKSHEET

Form quadratic equations with the following given numbers as its roots.

Problem 1 :

3 + i , 3 – i

Form quadratic equations with the following given numbers as its roots.             Solution

Problem 2 :

4 + 5i, 4 - 5i

Solution

Problem 3 :

Find a quadratic polynomial whose zeroes are 2 + √3 and 2 – √3              Solution

Problem 4 :

What is an equation whose roots are 5+√2 and 5−√2

Solution

Problem 5 :

Find the quadratic polynomial with rational coefficients which has 1/(3+2√2) as a root.

Solution

Problem 6 :

Form a quadratic equation with the given roots 2 + √3, 2 - √3

Solution

Problem 1 :

Find the quadratic polynomial whose zeroes are −2 & 3

Solution

Problem 2 :

Find a quadratic polynomial whose zeroes are 2 + √3 and 2 – √3

Solution

Problem 3 :

Frame a quadratic polynomial p(x) whose sum of zeroes is -3 and the product of zeroes is -2/3.

Solution

Problem 4 :

Find a quadratic polynomial whose sum of zeroes is -12 and product is 14.

Solution

Problem 5 :

If the sum of the zeroes of the quadratic polynomial

f(x) = kx² - 2x + 3 is 3

find k.               Solution

Problem 6 :

The sum of the roots of the equation

3x² + kx + 5 = 0

will be equal to the product of its roots.          Solution

Problem 7 :

Find the value of k, given that the product of the roots of the equation

(k + 1)x² + (4k + 3)x + (k – 1) = 0 is 7/2

Solution

Problem 8 :

Form an quadratic polynomial whose roots are 2, and -1/2.

Solution

Problem 9 :

What is an equation whose roots are 5+√2 and 5−√2

Solution

Problem 10 :

Write down the quadratic equation in general form for which sum and product of the roots are given below.

– 7/2 , 5/2

Solution