FINDING ZEROES OF POLYNOMIALS WORKSHEET

(1)  Find the value of the polynomial 

f(y)  =  6y - 3y² + 3 at 

(i) y  =  1 (ii)  y  =  -1  (iii)  y  =  0         Solution

(2)  If p(x) = x² – 2√2 x + 1, find p(2√2)     Solution

(3)  Find the zeroes of the polynomial in each of the following :

(i)  p(x)  =  x - 3

(ii) p(x) = 2x + 5

(iii) q(y) = 2y – 3

(iv)  f(z)  =  8z 

(v) p(x)  =  ax, when a ≠ 0 

(vi) h(x) = ax + b, a ≠ 0, a,b ∈ R         Solution

(4)  Find the roots of the polynomial equations.

(i) 5x – 6 = 0

(ii) x + 3 = 0

(iii) 10x + 9 = 0

(iv) 9x – 4 = 0         Solution

(5)  Verify whether the following are zeros of the polynomial indicated against them, or not.

(i)  p(x)  =  2x - 1, x = 1/2

(ii)  p(x)  =  x³ - 1, x  =  1

(iii)  p(x)  =  ax + b, x = -b/a

(iv)  p(x)  = (x + 3) (x - 4), x = 4, x = –3     Solution

(6)  Find the number of zeros of the following polynomials represented by their graphs.

(i)	(ii)
(iii)	(iv)
(v)

Solution

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