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Answer :
Certainly! Let's take a closer look at the expression [tex]\(35x^2 + 25\)[/tex].
This expression is a quadratic polynomial, which can be written in the standard form [tex]\(ax^2 + bx + c\)[/tex], where:
- [tex]\(a\)[/tex] is the coefficient of [tex]\(x^2\)[/tex],
- [tex]\(b\)[/tex] is the coefficient of [tex]\(x\)[/tex], and
- [tex]\(c\)[/tex] is the constant term.
For the expression [tex]\(35x^2 + 25\)[/tex]:
- The coefficient of [tex]\(x^2\)[/tex] is [tex]\(a = 35\)[/tex].
- There is no [tex]\(x\)[/tex] term, which means the coefficient [tex]\(b = 0\)[/tex].
- The constant term is [tex]\(c = 25\)[/tex].
Therefore, the expression [tex]\(35x^2 + 25\)[/tex] can be described in the form [tex]\(ax^2 + bx + c\)[/tex] with the values:
- [tex]\(a = 35\)[/tex]
- [tex]\(b = 0\)[/tex]
- [tex]\(c = 25\)[/tex]
This means that the expression is already in its simplest form as a quadratic polynomial. There are no further simplifications possible since it does not factor easily with integers, and there is no linear term to combine or simplify with the quadratic term.
This expression is a quadratic polynomial, which can be written in the standard form [tex]\(ax^2 + bx + c\)[/tex], where:
- [tex]\(a\)[/tex] is the coefficient of [tex]\(x^2\)[/tex],
- [tex]\(b\)[/tex] is the coefficient of [tex]\(x\)[/tex], and
- [tex]\(c\)[/tex] is the constant term.
For the expression [tex]\(35x^2 + 25\)[/tex]:
- The coefficient of [tex]\(x^2\)[/tex] is [tex]\(a = 35\)[/tex].
- There is no [tex]\(x\)[/tex] term, which means the coefficient [tex]\(b = 0\)[/tex].
- The constant term is [tex]\(c = 25\)[/tex].
Therefore, the expression [tex]\(35x^2 + 25\)[/tex] can be described in the form [tex]\(ax^2 + bx + c\)[/tex] with the values:
- [tex]\(a = 35\)[/tex]
- [tex]\(b = 0\)[/tex]
- [tex]\(c = 25\)[/tex]
This means that the expression is already in its simplest form as a quadratic polynomial. There are no further simplifications possible since it does not factor easily with integers, and there is no linear term to combine or simplify with the quadratic term.
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