Given:
The polynomial expression [tex]-7x^2+32x+240[/tex].
To find:
The constant term in the polynomial expression and factored form.
Solution:
We have
[tex]-7x^2+32x+240[/tex]
Here, 240 is free from variable x. So, it is the constant term.
It represents the initial value of the expression, where x=0.
Using splitting the middle term, we get
[tex]-7x^2-28x+60x+240[/tex]
[tex]\Rightarrow -7x(x+4)+60(x+4)[/tex]
[tex]\Rightarrow (x+4)(-7x+60)[/tex]
Therefore, the factored form is [tex](x+4)(-7x+60)[/tex].
It represents the two expressions, whose product is the given expression.
