Question

Simplify the polynomial expression 7x2+2x−97x+9+(x+2)(x−3)
.(1 point)

Answer 1

To simplify the polynomial expression \( 7x^2 + 2x - 9 + (x+2)(x-3) \), we will start by simplifying the product \( (x + 2)(x - 3) \).

1. **Expand the expression \( (x + 2)(x - 3) \)**:
\[
(x + 2)(x - 3) = x^2 - 3x + 2x - 6 = x^2 - x - 6
\]

2. **Substitute this back into the original expression**:
\[
7x^2 + 2x - 9 + (x^2 - x - 6)
\]

3. **Combine like terms**:
- First, group all the \(x^2\) terms:
\[
7x^2 + x^2 = 8x^2
\]

- Next, combine the \(x\) terms:
\[
2x - x = x
\]

- Finally, combine the constant terms:
\[
-9 - 6 = -15
\]

4. **Write the final simplified expression**:
\[
8x^2 + x - 15
\]

Thus, the simplified form of the polynomial expression is:
\[
\boxed{8x^2 + x - 15}
\]