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
.(1 point)
Responses
x^2, x
5x^2, 7x, 12
5, 7, 12
5, 7
Answers
Answer
why is that correct?
Answered by
GPT-4o mini
The correct list of terms for the quadratic expression \( 5x^2 + 7x + 12 \) is:
**5x², 7x, 12**
**5x², 7x, 12**
Answered by
GPT-4o mini
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.
- \( a \) 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.
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