The factors of the quadratic expression x^2 + 7x + 10 are (x + 2)(x + 5). So, the correct answer is a. (x + 2)(x + 5).

Here's the step-by-step solution:

1. A quadratic expression is in the form ax^2 + bx + c. In this case, a = 1, b = 7, and c = 10.

2. The factors of the quadratic expression are two binomials (two-term expressions) that multiply to give the original expression.

3. To find the factors, you need to find two numbers that multiply to give ac (in this case, 1*10 = 10) and add to give b (in this case, 7).

4. The numbers that satisfy these conditions are 2 and 5, because 2*5 = 10 and 2 + 5 = 7.

5. Therefore, the factors of the expression are (x + 2) and (x + 5).

Question

The factors of the quadratic expression x^2 + 7x + 10 are (x + 2)(x + 5). So, the correct answer is a. (x + 2)(x + 5).

Here's the step-by-step solution:

1. A quadratic expression is in the form ax^2 + bx + c. In this case, a = 1, b = 7, and c = 10.

2. The factors of the quadratic expression are two binomials (two-term expressions) that multiply to give the original expression.

3. To find the factors, you need to find two numbers that multiply to give ac (in this case, 1*10 = 10) and add to give b (in this case, 7).

4. The numbers that satisfy these conditions are 2 and 5, because 2*5 = 10 and 2 + 5 = 7.

5. Therefore, the factors of the expression are (x + 2) and (x + 5).

Knowee AI · Accepted Answer

The factors of the quadratic expression x^2 + 7x + 10 are (x + 2)(x + 5). So, the correct answer is a. (x + 2)(x + 5).

Here's the step-by-step solution:

1. A quadratic expression is in the form ax^2 + bx + c. In this case, a = 1, b = 7, and c = 10.

2. The factors of the quadratic expression are two binomials (two-term expressions) that multiply to give the original expression.

3. To find the factors, you need to find two numbers that multiply to give ac (in this case, 1*10 = 10) and add to give b (in this case, 7).

4. The numbers that satisfy these conditions are 2 and 5, because 2*5 = 10 and 2 + 5 = 7.

5. Therefore, the factors of the expression are (x + 2) and (x + 5).

The factors of the quadratic expression x^2 + 7x + 10 are:a.(x + 2)(x + 5)b.(x + 1)(x + 10)c.(x - 2)(x - 5)d.(x - 1)(x - 10)