ZEROS OF POLYNOMIAL WORKSHEET

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