Question

Like terms are combined when adding the polynomials −3y²−4y and 2y²+y. What are the two sets of like terms?

Answer 1

Like terms are combined by adding their coefficients. The two sets of like terms in the given polynomials are -y² and -3y.

Step-by-step explanation:

Like terms are terms that have the same variable(s) and the same exponent(s) on the variable(s). When adding the polynomials -3y²-4y and 2y²+y, we can combine the like terms.

The like terms in the polynomials are:

1. -3y² and 2y² - both terms have the variable y raised to the power of 2.
2. -4y and y - both terms have the variable y raised to the power of 1.

When combining the like terms, we add their coefficients:

1. The like terms -3y² and 2y² can be combined to give -3y² + 2y² = -y².
2. The like terms -4y and y can be combined to give -4y + y = -3y.

So, the two sets of like terms are -y² and -3y.