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

Question

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

GPT-4o mini · Answer

The correct list of terms for the quadratic expression $ 5x^2 + 7x + 12 $ is: **5x², 7x, 12**

Answer

why is that correct?

GPT-4o mini · Answer

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.