Question

Identify the following information below for term(s), coefficient(s), factor(s), and constant(s) from the expression: 4x^2yz−3x^2y^2+16xy−7.

a) Term: 4x^2yz, Coefficient: 4, Factor: y, Constant: -7
b) Term: -3x^2y^2, Coefficient: -3, Factor: xy, Constant: 16
c) Term: 16xy, Coefficient: 16, Factor: xy, Constant: -7
d) Term: -7, Coefficient: -7, Factor: 1, Constant: -7

Answer 1

In the given expression, 4x^2yz has a coefficient of 4, -3x^2y^2 has a coefficient of -3, 16xy has a coefficient of 16, and the constant term is -7. Each term's factors are the variables and exponents within that term, and the constant term's value itself is -7.

Step-by-step explanation:

From the expression 4x^2yz−3x^2y^2+16xy−7, we can identify terms, coefficients, factors, and constants as follows:

• Term: 4x^2yz, Coefficient: 4, Factor: x^2yz, Constant: This term does not have a constant.
• Term: -3x^2y^2, Coefficient: -3, Factor: x^2y^2, Constant: This term does not have a constant.
• Term: 16xy, Coefficient: 16, Factor: xy, Constant: This term does not have a constant.
• Term: -7, Coefficient: This term does not have a coefficient as it is a constant term, Factor: This term does not have factors other than -7 itself, Constant: -7.

The constant term in the expression is -7, which is not associated with any variables.