CBSE - IX - Mathematics
If x2-1 is a factor of ax3+bx2+cx+d, show that a+c=0
Consider the quadratic equation,x2 +4x+4
The degree of the quadratic equation is 2.
However, if you solve this equation and find the roots, you will realise that you will get only 1 root, that is '2'.
This is cause the roots are repeated.
That is, why we say atmost which means maximum n roots.
The same holds for an equation with degree n.
We can always have some equations which have equal (that is, repeated) roots.
Hence, we use the word ATMOST.
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