The factorised form of the quadratic expression x^2 + 6x + 5 is (x + 1)(x + 5).

Here's the step-by-step process:

1. Identify the coefficients in the quadratic expression. In this case, a = 1 (coefficient of x^2), b = 6 (coefficient of x), and c = 5 (constant term).

2. Look for two numbers that multiply to give ac (in this case, 1*5 = 5) and add up to give b (in this case, 6). The numbers 1 and 5 meet these conditions because 1*5 = 5 and 1 + 5 = 6.

3. Write the quadratic expression in its factorised form, (x + number1)(x + number2), substituting number1 and number2 with the numbers you found. In this case, number1 = 1 and number2 = 5, so the factorised form is (x + 1)(x + 5).

Question

The factorised form of the quadratic expression x^2 + 6x + 5 is (x + 1)(x + 5).

Here's the step-by-step process:

1. Identify the coefficients in the quadratic expression. In this case, a = 1 (coefficient of x^2), b = 6 (coefficient of x), and c = 5 (constant term).

2. Look for two numbers that multiply to give ac (in this case, 1*5 = 5) and add up to give b (in this case, 6). The numbers 1 and 5 meet these conditions because 1*5 = 5 and 1 + 5 = 6.

3. Write the quadratic expression in its factorised form, (x + number1)(x + number2), substituting number1 and number2 with the numbers you found. In this case, number1 = 1 and number2 = 5, so the factorised form is (x + 1)(x + 5).

Knowee AI · Accepted Answer

The factorised form of the quadratic expression x^2 + 6x + 5 is (x + 1)(x + 5).

Here's the step-by-step process:

1. Identify the coefficients in the quadratic expression. In this case, a = 1 (coefficient of x^2), b = 6 (coefficient of x), and c = 5 (constant term).

2. Look for two numbers that multiply to give ac (in this case, 1*5 = 5) and add up to give b (in this case, 6). The numbers 1 and 5 meet these conditions because 1*5 = 5 and 1 + 5 = 6.

3. Write the quadratic expression in its factorised form, (x + number1)(x + number2), substituting number1 and number2 with the numbers you found. In this case, number1 = 1 and number2 = 5, so the factorised form is (x + 1)(x + 5).

Select the correct factorised form of the following quadratic expression: 𝑥2+6𝑥+5x 2 +6x+5

Question

Select the correct factorised form of the following quadratic expression:

Solution

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