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Number Sense and Expressions

Quick questions on Factoring polynomials - B.E.S.T. Algebra 1 EOC

4short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What are perfect-square trinomials?
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a2+2ab+b2=(a+b)2a^2 + 2ab + b^2 = (a + b)^2 and a2βˆ’2ab+b2=(aβˆ’b)2a^2 - 2ab + b^2 = (a - b)^2.
What is q1?
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Factor 4x2βˆ’364x^2 - 36 completely. [2 points]
What is q2?
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Factor x2βˆ’8x+16x^2 - 8x + 16. [1 point]
What is sign errors in the trinomial pair?
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For x2βˆ’xβˆ’12x^2 - x - 12, the numbers are βˆ’4-4 and 33 (multiply to βˆ’12-12, add to βˆ’1-1), giving (xβˆ’4)(x+3)(x - 4)(x + 3).

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