Q37 of 109 Page 3

If a quadratic polynomial f (x) is a square of a linear polynomial, then its two zeroes are coincident. (True/False)

True

Lets take,


f(x) = x2 – 4x + 4


= (x – 2)2


= [g(x)]2 ………….. [g(x) = (x – 2) is a linear polynomial]


Zero of g(x) is 2,


So,


Zeroes of f(x) are 2 and 2.


So we can say that zeroes of f(x) are coincident.


More from this chapter

All 109 →
35

For what value of k, is – 2 a zero of the polynomial 3x2 + 4x + 2k?

 36

If a quadratic polynomial f (x) is factorizable into linear distinct factors, then what is the total number of real and distinct zeros of f(x)?

 38

If a quadratic polynomial f(x) is not factorizable into linear factors, then it has no real zero. (True/False)

 39

If f(x) is a polynomial such that f(a)f(b)< 0, then what is the number of zeros lying between a and b?