If A=3x^2-2x-7 and B=x^2+9, then what is their sum, A+B?
a. 5x^2-2x+2
b. 4x^2-2x-2
c. 4x^2+2
d. 4x^2-2x+2
e. none of these
add like terms, we will be happy to check your thinking.
To find the sum of two polynomials, A and B, we need to add their corresponding terms.
Given that A = 3x^2 - 2x - 7 and B = x^2 + 9, we can add the two polynomials as follows:
A + B = (3x^2 - 2x - 7) + (x^2 + 9)
Combining like terms, we have:
A + B = 3x^2 - 2x - 7 + x^2 + 9
Now, let's group the like terms together:
A + B = (3x^2 + x^2) + (-2x) + (-7 + 9)
Simplifying further, we get:
A + B = 4x^2 - 2x + 2
Comparing this expression with the given options, we can see that the correct answer is (d) 4x^2 - 2x + 2.