factorise the cubic polynomial Y3-6y2+11y-6
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The factors of are
Given:
- A cubic polynomial.
To find:
- Factors of cubic polynomial.
Solution:
Concept to be used:
- Find first factor by hit and trial method.
- Divide the polynomial by factor and factorise quotient polynomial for other two factors.
Step 1:
Put y= 1
or
or
or
Thus,
(y-1) is a factor of polynomial.
Step 2:
Divide the cubic polynomial by one of its known factor.
Step 3:
Factorise the quotient polynomial.
or
or
or
Thus,
The factors of are
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