Verified answer

Answer:

The true statement among the given options is:

B. There are 3 terms in 2x² + 7 + xy + y².

Explanation:

A. The coefficient of x² in x² + 8x is 1, not 8. The coefficient of x² is the number that multiplies with x², which is 1 in this case.

B. There are 3 terms in 2x² + 7 + xy + y². The three terms are 2x², 7, and xy + y². Terms are separated by addition or subtraction.

C. x²/y is not a polynomial. A polynomial must have whole number exponents on variables. The exponent of y in x²/y is -1, which is not a whole number.

D. 4xy and 45yx are like terms. Like terms have the same variables raised to the same powers. In this case, both terms have xy, so they are like terms. The coefficients (4 and 45) can be different for like terms.

So, the true statement is option B: There are 3 terms in 2x² + 7 + xy + y².

Answer:

A is false

B is false

Cis true

Dis true