Question

Step 2: Write the polynomial in descending order and use parentheses around like terms.

(3 – 4x + 8x2) + (–6 + 2x – 5x2)


(3-6) + ( – 4x + 2x) + ( 8x2– 5x2)


( 8x2– 5x2) +( – 4x + 2x)+ (3-6)


( – 4x + 2x)+ (3-6) + ( 8x2– 5x2)


(8x2 – 4x +3)+ (– 5x2+ 2x –6)Step 3: Add the like terms identified in Step 2 to simplify the polynomial.

Answer 1

To simplify the polynomial, we'll combine the like terms identified in Step 2.

Starting from:

\[
(8x^2 - 5x^2) + (-4x + 2x) + (3 - 6)
\]

Let's simplify each group of like terms:

1. **For the \(x^2\) terms**:
\[
8x^2 - 5x^2 = 3x^2
\]

2. **For the \(x\) terms**:
\[
-4x + 2x = -2x
\]

3. **For the constant terms**:
\[
3 - 6 = -3
\]

Now, we combine the simplified terms together in descending order of the degree:

\[
3x^2 - 2x - 3
\]

Thus, the simplified polynomial is:

\[
3x^2 - 2x - 3
\]