Identify the correct list of terms for the quadratic expression: 5x^2+7x+12

.(1 point)
Responses

x^2, x

5x^2, 7x, 12

5, 7, 12

5, 7

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

The correct list of terms for the quadratic expression \( 5x^2 + 7x + 12 \) is:

**5x², 7x, 12**

anonymous anonymous answered
1 month ago

why is that correct?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

The expression \( 5x^2 + 7x + 12 \) is a quadratic expression in the variable \( x \). A quadratic expression generally has the form \( ax^2 + bx + c \), where:

- \( a \) is the coefficient of \( x^2 \),
- \( b \) is the coefficient of \( x \),
- \( c \) is the constant term (the term without \( x \)).

In your expression:

- \( 5x^2 \) is the term with \( x^2 \) and has a coefficient of 5.
- \( 7x \) is the term with \( x \) and has a coefficient of 7.
- \( 12 \) is the constant term.

So, the individual terms of the expression are \( 5x^2 \), \( 7x \), and \( 12 \).

This makes the complete and correct list of terms: **5x², 7x, 12**.

The other response options do not represent all parts of the expression accurately.