To factorize the quadratic expression x2 + 4x + 3:

April 30, 2026Mathematics

ScanSolve AI Answer

April 30, 2026

Answer

(x+1)(x+3)

To factorize the quadratic expression $x^2 + 4x + 3$ :

Step 1: Identify coefficients. This is a quadratic expression in the form $ax^2 + bx + c$ , where $a=1$ , $b=4$ , and $c=3$ .
Step 2: Find two numbers. We need to find two numbers that multiply to $c$ (which is 3) and add up to $b$ (which is 4). The numbers are 1 and 3, because $1 \times 3 = 3$ and $1 + 3 = 4$ .
Step 3: Write the factored form. Using these two numbers, we can write the expression in factored form. $(x+1)(x+3)$
Final Answer: The factored form of $x^2 + 4x + 3$ is $\boxed{(x+1)(x+3)}$ .

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Quick Answer

To factorize the quadratic expression x^2 + 4x + 3: Step 1: Identify coefficients.

Asked on April 30, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 30, 2026

To factorize the quadratic expression x^2 + 4x + 3: Step 1: Identify coefficients. This is a quadratic expression in the form ax^2 + bx + c, where a=1, b=4, and c=3. Step 2: Find two numbers. We need to find two numbers that multiply to c (which is 3) and add up to b (which is 4). The numbers are 1 and 3, because 1 × 3 = 3 and 1 + 3 = 4. Step 3: Write the factored form. Using these two numbers, we can write the expression in factored form. (x+1)(x+3) Final Answer: The factored form of x^2 + 4x + 3 is (x+1)(x+3). That's 2 down. 3 left today — send the next one.