The value of `3x^2 - 5x + 3 " when " x = 1` is

Options

A. 1
B. 0
C. -1
D. 11

Answer

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

### Step 1: Substitute \(x\) with 1
We start by substituting \(x\) in the expression with the value 1.

\[ 3(1)^2 - 5(1) + 3 \]

### Step 2: Calculate \(1^2\)
Next, we calculate \(1^2\).

\[ 1^2 = 1 \]

### Step 3: Multiply by 3
Now, we multiply the result by 3.

\[ 3 \times 1 = 3 \]

### Step 4: Calculate \(-5(1)\)
Next, we calculate \(-5(1)\).

\[ -5 \times 1 = -5 \]

### Step 5: Combine the results
Now, we combine all the results we have calculated so far.

\[ 3 - 5 + 3 \]

### Step 6: Perform the addition and subtraction
Now, we perform the addition and subtraction step by step.

First, we add \(3\) and \(-5\):

\[ 3 - 5 = -2 \]

Then, we add \(-2\) and \(3\):

\[ -2 + 3 = 1 \]

### Final Answer
Thus, the value of the expression \(3x^2 - 5x + 3\) when \(x = 1\) is:

\[ \boxed{1} \]

---