The value of the polynomial `5x -4x^(2)+3,` when x=-1 is

Options

A. `-6`
B. 6
C. 2
D. `-2`

Explanation

To find the value of the polynomial \(5x - 4x^2 + 3\) when \(x = -1\), we will follow these steps:

### Step 1: Write down the polynomial
The polynomial we are working with is:
\[ P(x) = 5x - 4x^2 + 3 \]

### Step 2: Substitute \(x = -1\) into the polynomial
Now, we substitute \(-1\) for \(x\):
\[ P(-1) = 5(-1) - 4(-1)^2 + 3 \]

### Step 3: Calculate each term
Now, we calculate each term step by step:
1. Calculate \(5(-1)\):
\[ 5(-1) = -5 \]
2. Calculate \(-4(-1)^2\):
\[ (-1)^2 = 1 \quad \Rightarrow \quad -4(1) = -4 \]
3. The constant term is \(+3\).

### Step 4: Combine the results
Now we combine all the calculated terms:
\[ P(-1) = -5 - 4 + 3 \]

### Step 5: Simplify the expression
Now, we simplify:
1. Combine \(-5\) and \(-4\):
\[ -5 - 4 = -9 \]
2. Now add \(3\):
\[ -9 + 3 = -6 \]

### Final Answer
Thus, the value of the polynomial \(5x - 4x^2 + 3\) when \(x = -1\) is:
\[ \boxed{-6} \]