Q. 45.0( 9 Votes )

Find the zeroes o

Answer :

After substituting the value for variable in the polynomial if we get 0 then that value is called zero of the polynomial


Here we have to equate the polynomial to 0 to get the zeroes of that polynomial


i. p(x) = x – 4


x – 4 = 0


x = 4


Hence x = 4 is zero of polynomial p(x) = x – 4


ii. p(x) = 4x


4x = 0


x = 0


Hence x = 0 is zero of polynomial p(x) = 4x


iii. p(x) = bx, b 0


bx = 0


b = 0 or x = 0 or both


But given that b ≠ 0 hence x has to be 0


x = 0


Hence x = 0 is zero of polynomial p(x) = bx


iv. p(x) = x + 3


x + 3 = 0


x = -3


Hence x = -3 is zero of polynomial p(x) = x + 3


v. p(x) = 2x – 1


2x – 1 = 0


2x = 1



Hence is zero of polynomial p(x) = 2x – 1


vi. p(x) = 3x + 7


3x + 7 = 0


3x = -7



Hence is zero of polynomial p(x) = 3x + 7


vii. p(x) = cx + d, c 0, c, d are real numbers.


cx + d = 0


cx = -d



Hence is zero of polynomial p(x) = cx + d


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