WRITE A QUADRATIC EQUATION WITH THE GIVEN ROOTS WORKSHEET

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

Write a quadratic function in intercept form whose graph has the given x- intercepts and passes through the given point.

Problem 1 :

x - Intercepts : 2, 3

Point : (4, 2)

Solution

Problem 2 :

x - Intercepts : -4, 1

Point : (-3, -4)

Solution

Problem 3 :

x - Intercepts : -5, 5

Point : (6, 11)

Solution

Problem 4 :

x - Intercepts : -7, -2

Point : (-5, -6)

Solution

Problem 5 :

x - Intercepts : 0, 4

Point : (-1, 20)

Solution

Problem 6 :

x - Intercepts : -3, -2

Point : (-4, -6)

Solution