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State 'T' for true and 'F' for false and select the correct option.
I. If a quadratic polynomial f(x) is a square of a linear polynomial, then its two zeroes are coincident.
II. If a quadratic polynomial f(x) is not factorisable into linear factors, then it has no real zero.
III. If graph of quadratic polynomial `ax^(2)+bx+c` cuts positive direction of y-axis, then the sign of c is positive.
If fourth degree polynomial is divided by a quadratic polynomial, then the degree of the remainder is 2.

A

`{:(I,II,III,IV),(F,F,T,T):}`

B

`{:(I,II,III,IV),(T,T,T,F):}`

C

`{:(I,II,III,IV),(F,T,T,F):}`

D

`{:(I,II,III,IV),(T,T,T,T):}`

Text Solution

Verified by Experts

The correct Answer is:
B
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