Question

(x+2)(x+7) Use the distributive property. You should have 4 terms. Combine like terms and put your answer in Standard Form Describe your answer by the number of terms.

Answer 1

The expression (x+2)(x+7) simplifies to x^2+9x+14 using the distributive property to multiply terms, then combining like terms.

Step-by-step explanation:

To use the distributive property on the expression (x+2)(x+7), we multiply each term in the first parentheses with each term in the second parentheses.

First we have: x*x = x².

Then we proceed with the remaining terms: x*7 = 7x and 2*x = 2x.

Finally, we multiply: 2*7 = 14.

After multiplying, we obtain the four terms: x², 7x, 2x, and 14. Combining like terms (7x and 2x), we find that 7x + 2x = 9x. Therefore, in its simplified form, the expression becomes x² + 9x + 14 in Standard Form. It has three terms: 1 quadratic term (x^2), 1 linear term (9x), and 1 constant term (14).

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