SAT Exam > SAT Questions > x2 + 6x + 4Which of the following is equivale...
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x2 + 6x + 4
Which of the following is equivalent to the expression above?
Which of the following is equivalent to the expression above?
- a)(x + 3)2 + 5
- b)(x + 3)2 − 5
- c)(x − 3)2 +5
- d)(x − 3)2 − 5
Correct answer is option 'B'. Can you explain this answer?
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x2 + 6x + 4Which of the following is equivalent to the expression abov...
Choice B is correct. Each of the options is a quadratic expression in vertex form. To rewrite the given expression in this form, the number 9 needs to be added to the first two terms, because x2 + 6x + 9 is equivalent to (x + 3)2. Rewriting the number 4 as 9 – 5 in the given expression yields x2 + 6x + 9 – 5, which is equivalent to (x + 3)2 – 5.
Choice A is incorrect. Squaring the binomial and simplifying the expression in option A gives x2 + 6x + 9 + 5. Combining like terms gives x2 + 6x + 14, not x2 + 6x + 4. Choice C is incorrect. Squaring the binomial and simplifying the expression in choice C gives x2 – 6x + 9 + 5. Combining like terms gives x2 – 6x + 14, not x2 + 6x + 4. Choice D is incorrect. Squaring the binomial and simplifying, the expression in choice D gives x2 – 6x + 9 – 5. Combining like terms gives x2 – 6x + 4, not x2 + 6x + 4.
Choice A is incorrect. Squaring the binomial and simplifying the expression in option A gives x2 + 6x + 9 + 5. Combining like terms gives x2 + 6x + 14, not x2 + 6x + 4. Choice C is incorrect. Squaring the binomial and simplifying the expression in choice C gives x2 – 6x + 9 + 5. Combining like terms gives x2 – 6x + 14, not x2 + 6x + 4. Choice D is incorrect. Squaring the binomial and simplifying, the expression in choice D gives x2 – 6x + 9 – 5. Combining like terms gives x2 – 6x + 4, not x2 + 6x + 4.
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x2 + 6x + 4Which of the following is equivalent to the expression above?a)(x + 3)2 + 5b)(x + 3)2 − 5c)(x − 3)2 +5d)(x − 3)2 − 5Correct answer is option 'B'. Can you explain this answer?
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x2 + 6x + 4Which of the following is equivalent to the expression above?a)(x + 3)2 + 5b)(x + 3)2 − 5c)(x − 3)2 +5d)(x − 3)2 − 5Correct answer is option 'B'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about x2 + 6x + 4Which of the following is equivalent to the expression above?a)(x + 3)2 + 5b)(x + 3)2 − 5c)(x − 3)2 +5d)(x − 3)2 − 5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for x2 + 6x + 4Which of the following is equivalent to the expression above?a)(x + 3)2 + 5b)(x + 3)2 − 5c)(x − 3)2 +5d)(x − 3)2 − 5Correct answer is option 'B'. Can you explain this answer?.
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