Expand (x + 2)(x + 5).

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Master the Certify Teacher EC-6 (391) Mathematics Test. Use flashcards and multiple choice questions with explanations. Boost your confidence and excel in your exam!

Multiple Choice

Expand (x + 2)(x + 5).

Explanation:
Expanding binomials uses the distributive property to multiply every term in one binomial by every term in the other. Multiply x by x to get x^2, x by 5 to get 5x, 2 by x to get 2x, and 2 by 5 to get 10. Then combine the like terms in the middle: 5x + 2x = 7x. Put it all together: x^2 + 7x + 10. This is the correct expansion because it includes all the products and combines the x-terms correctly. Any other result would come from missing a product or misadding the cross terms.

Expanding binomials uses the distributive property to multiply every term in one binomial by every term in the other. Multiply x by x to get x^2, x by 5 to get 5x, 2 by x to get 2x, and 2 by 5 to get 10. Then combine the like terms in the middle: 5x + 2x = 7x. Put it all together: x^2 + 7x + 10. This is the correct expansion because it includes all the products and combines the x-terms correctly. Any other result would come from missing a product or misadding the cross terms.

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