Question

Add: (3x^2 - 10x + 2) + (4x^2 + 8).

A) 7x^2 - 2x + 10
B) 4x^2 - 2x + 10
C) 7x^2 - 18x + 10
D) 7x^2 - 10x + 10

Answer 1

D

Step-by-step explanation:

we require to add the 2 expressions

3x² - 10x + 2 + 4x² + 8 ← collect like terms

= (3x² + 4x² ) - 10x + (2 + 8)

= 7x² - 10x + 10

Answer 2

To add the polynomials (3x^2 - 10x + 2) and (4x^2 + 8), you combine like terms to get 7x^2 for the x^2 terms, -10x for the x terms, and 10 for the constants. The final answer is 7x^2 - 10x + 10, which corresponds to answer choice D.

Step-by-step explanation:

To add the two polynomials (3x^2 - 10x + 2) and (4x^2 + 8), you simply combine like terms. Here is the step-by-step process:

1. Identify like terms, which are terms that have the same variable raised to the same power.
2. Add the coefficients (numerical values in front of the variables) of the like terms.
3. Write down the result without changing the exponents of any variables.

Now, let's add the polynomials:

3x^2 (from the first polynomial) plus 4x^2 (from the second polynomial) equals 7x^2.

The x-term in the second polynomial is missing, which means it has a coefficient of 0. So, -10x (from the first polynomial) plus 0 equals -10x.

Finally, the constant terms 2 (from the first polynomial) and 8 (from the second polynomial) add up to 10.

Putting it all together, we get the polynomial 7x^2 - 10x + 10, which is answer choice D.