Factor completely 4y 2 + 25y + 6
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The given polynomial is
As this is a fourth degree polynomial, we can not directly use any formula, So here we will use hit and trial method
check whether x=-1 is a zero of the polynomial or not
Hence x=-1 is not a zero.
Now check whether x=-2 is a zero of the polynomial or not
Hence x=-2 is a zero of the polynomial.
Hence we can re-write the polynomial as
Hence the required binomial is (x+2)