FINDING ZEROES OF QUADRATIC FUNCTIONS WORKSHEET

Find the zeroes of quadratic polynomial given below.

Problem 1 :

y = (x - 4)² - 25

Solution

Problem 2 :

y = 2x² - 9x - 5

Solution

Problem 3 :

f(x) = 3x² + 5x - 12

Solution

Problem 4 :

f(x) = (-1/2) (x + 3)² + 8

Solution

Problem 5 :

f(x) = x² - 24x + 144

Solution

Problem 6 :

f(x) = 9x² - 81

Solution

Problem 7 :

f(x) = x² - x - 20

Solution

Problem 1 :

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

Solution

Problem 2 :

Find the zeroes of quadratic polynomial x²-5x-6.

Solution

Problem 3 :

If 1 is a zero of the polynomial p(x) = ax² - 3(a-1)x - 1, then find the value of 'a' ?             Solution

Problem 4 :

If the graph of a polynomial intersects the x – axis at only one point, can it be a quadratic polynomial?

Solution

Problem 5 :

What number should be added to the polynomial x²-5x+4, so that 3 is the zero of the polynomial?

Solution

Problem 6 :

If x – 3 and x – 1/3 are both factors of ax² + 5x + b , show that a = b

Solution

Problem 7 :

If y = -1 is a zero of the polynomial q(y) = 4y³ + ky² - y -1, then find the value of k

Solution

Problem 8 :

For what value of m is x³ – 2mx² + 16 divisible by x + 2

Solution