It looks like the image is labeled
"SUBTRACTING POLYNOMIALS", but the expression shown is actually an
addition of two polynomials:
$$
(3x^2 - 2x + 5) + (-2x^2 + 6x - 7)
$$
Let’s solve this step by step.
---
Step 1: Remove the parentheses
Since we're adding, we can simply remove the parentheses:
$$
3x^2 - 2x + 5 - 2x^2 + 6x - 7
$$
---
Step 2: Combine like terms
Group the terms by degree (same powers of $x$):
- $x^2$ terms: $3x^2 - 2x^2 = x^2$
- $x$ terms: $-2x + 6x = 4x$
- Constant terms: $5 - 7 = -2$
---
Final Answer:
$$
x^2 + 4x - 2
$$
---
Note:
Even though the title says "Subtracting Polynomials", the operation shown is
addition. If it were subtraction, the second polynomial would be subtracted, like:
$$
(3x^2 - 2x + 5) - (-2x^2 + 6x - 7)
$$
But in this case, it's clearly
addition, so the correct result is:
$$
\boxed{x^2 + 4x - 2}
$$
Parent Tip: Review the logic above to help your child master the concept of adding subtracting and multiplying polynomials worksheet with answers.
