We are given the following polynomial
[tex]4y^2-28y+49[/tex]Let us factor out the above polynomial.
We need to break the middle term into two numbers such that their sum is equal to -28 and their product is equal to 196
How about -14 and -14?
-14 -14 = -28
-14×-14 = 196
[tex]\begin{gathered} 4y^2-28y+49 \\ 4y^2-14y-14y+49 \\ (4y^2-14y)+(-14y+49) \\ 2y(2y-7)-7(2y-7) \\ (2y-7)(2y-7) \\ (2y-7)^2 \end{gathered}[/tex]As you can see, the polynomial is completely factored.
Also, notice that the polynomial is not a prime since it has more than 2 factors.
