What is the simplified standard form after applying FOIL to (x+a)(x+b)?

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Study for the Algebra 1 Honors End-of-Course Test. Study with flashcards and multiple-choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

What is the simplified standard form after applying FOIL to (x+a)(x+b)?

Explanation:
FOIL shows how to multiply two binomials and then collect like terms. Multiply (x+a)(x+b): First x·x = x^2, Outer x·b = bx, Inner a·x = ax, Last a·b = ab. This gives x^2 + bx + ax + ab. The middle terms are like terms and combine to (a+b)x, giving the standard form x^2 + (a+b)x + ab. This is the correct simplified form because it orders terms by decreasing degree and has like terms combined.

FOIL shows how to multiply two binomials and then collect like terms. Multiply (x+a)(x+b): First x·x = x^2, Outer x·b = bx, Inner a·x = ax, Last a·b = ab. This gives x^2 + bx + ax + ab. The middle terms are like terms and combine to (a+b)x, giving the standard form x^2 + (a+b)x + ab. This is the correct simplified form because it orders terms by decreasing degree and has like terms combined.

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