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CBSE Class 9 Answered

If x2-1 is a factor of ax3+bx2+cx+d, show that a+c=0
Asked by Vikas | 24 Mar, 2017, 06:00: PM
answered-by-expert Expert Answer

Hi Ananya,

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.

Answered by | 24 Mar, 2017, 08:41: PM

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