Like every quadratic equation
where
we can factor out
And find the two solutions
In this case, the solutions are
If you know that are the solutions to the quadratic equation
then you can factor the poynomial as
So, in this case, you have
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Consider the polynomial .
For this polynomial to be trinomial with a degree of 3. We have to identify the missing exponent of the 'y' term.
Let the missing exponent of the 'y' term be 0
So, the polynomial will be
=
= which is not a trinomial, which is a binomial.
So, the missing exponent of 'y' can'not be zero.
Let the missing exponent of the 'y' term be 2
So, the polynomial will be
=
= which is a trinomial of degree 4.
So, the missing exponent of 'y' can'not be '2'.
If we will take the missing exponent of 'y' more than 2, than the degree of the given polynomial will not be 3 anymore.
Let the missing exponent of the 'y' term be 1
So, the polynomial will be
=
= which is a trinomial of degree 3
So, the missing exponent of 'y' is 1.