Certainly! To express the polynomial [tex]\( x^2 + \square x + 49 \)[/tex] in its expanded form, we need to determine the coefficient of the [tex]\( x \)[/tex] term, represented by the placeholder [tex]\(\square\)[/tex].
In its general form, a quadratic polynomial can be written as:
[tex]\[ x^2 + bx + c \][/tex]
where [tex]\( b \)[/tex] is the coefficient of [tex]\( x \)[/tex] and [tex]\( c \)[/tex] is the constant term. In our case:
- The coefficient of [tex]\( x \)[/tex] is [tex]\( b \)[/tex],
- The constant term is 49.
Thus, the polynomial can be written as:
[tex]\[ x^2 + bx + 49 \][/tex]
Without additional specific instructions or values for [tex]\( b \)[/tex], we keep it general. Therefore, the fully expanded form of this polynomial will be:
[tex]\[ x^2 + b x + 49 \][/tex]
This shows the polynomial [tex]\( x^2 + \square x + 49 \)[/tex] in its expanded and simplified form.
