What is the product of 3x(x2 + 4)?
Sample Response: Louise’s answer is not correct. She is missing the term 30x3. When squaring a binomial, it is best to write the product of the binomial times itself. Then you can use the distributive property to multiply each term in the first binomial by each term in the second binomial. Louise also could have used the formula for a perfect square trinomial, which is found by squaring a binomial. What did you include in your response? Check all that apply.Louise is missing the term 30x3.Louise
–6x–3x7x14x
Did Cherise use algebra tiles to correctly represent the product of (x – 2)(x – 3)?
Which equals the product of (x – 3)(2x + 1)?
Find the product of (–d + e)(4e + d). Which statements are true? Check all that apply.There are 2 terms in the product.There are 3 terms in the product.There are 4 terms in the product.The product is degree 1.The product is degree 2.The product is degree 4.
What is the product of the binomials (4a – 1) and (2b + 3)?
Which products result in a difference of squares or a perfect square trinomial? Check all that apply. (5x + 3)(5x – 3)(7x + 4)(7x + 4)(2x + 1)(x + 2)(4x – 6)(x + 8)(x – 9)(x – 9) (–3x – 6)(–3x + 6)
Which expressions can represent the length and width of the garden?
Louise completed the work shown below.(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9Determine if Louise’s answer is correct. Explain.
Louise's answer is incorrect. When squaring a binomial, you must multiply the binomial by itself (5x^3 + 3)(5x^3 + 3). Using the FOIL method or the distributive property, the middle term is 2(5x^3 * 3) = 30x^3. Her result should have been 25x^6 + 30x^3 + 9. She incorrectly simply squared the individual terms instead of using the formula for a perfect square trinomial (a + b)^2 = a^2 + 2ab + b^2.
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