Find ' k ' so that ( x2+2x+k ) is a factor of ( 2x4 + x3 - 14x2 + 5x + 6 ). Also find all the zeroes of both the polynomials.
For to be a factor of
on dividing it should leave remainder as zero
So,
Comparing the coefficient of x we get
Thus its zeroes are 1, –3.
and