Question

What is the value of the constant term?

3x + 6 - 5x^2

Answer 1

The constant term in the expression
`3x + 6 - 5x^2` is 6.

Let's find the constant term step by step in the expression
`3x + 6 - 5x^2.`

The expression is in the form
`ax^2 + bx + c,` where:

• a is the coefficient of the quadratic term,
• b is the coefficient of the linear term, and
• c is the constant term.

Expression
`3x + 6 - 5x^2`, the quadratic term is
`-5x^2`, the linear term is 3x, and the constant term is 6.

So, the constant term (c) is 6.

Answer 2

The constant term in the expression 3x + 6 - 5x^2 is 6, which is the term without the variable x.

Step-by-step explanation:

The value of the constant term in the polynomial expression 3x + 6 - 5x^2 is the term that does not contain the variable x. In this case, the constant term is 6.

When dealing with polynomials, the constant term is the term that stays the same regardless of the value of the variable. It is also referred to as the term with a degree of zero because it is not multiplied by any variable. In the quadratic equation of the form ax^2 + bx + c = 0, the constant term is represented by c.