Question

Add the two polynomials: (5y³ + 7y² + y + 7) and (4y² + 3). Perform the addition and simplify the resulting polynomial expression."

Answer 1

To add the two polynomials (5y³ + 7y² + y + 7) and (4y² + 3), combine like terms by adding the coefficients of the terms with the same variable and power. The simplified polynomial expression is 5y³ + 11y² + 1y + 10.

Step-by-step explanation:

To add the two polynomials (5y³ + 7y² + y + 7) and (4y² + 3), we combine like terms. Like terms have the same variable raised to the same power, so we add the coefficients of these terms. First, let's add the terms with the variable y³:

5y³ + 0y³ = 5y³

Next, let's add the terms with the variable y²:

7y² + 4y² = 11y²

Now, let's add the terms with the variable y:

1y + 0y = 1y

Finally, let's add the constant terms:

7 + 3 = 10

Putting it all together, the simplified polynomial expression is:

5y³ + 11y² + 1y + 10