AnswersAG Q2 Keystone Algebra 1 Block 26-27DDiamondMultiplying Monomials and Binomials

Multiplying Monomials and Binomials Answers

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What did you include in your response? Check all that apply.

A
Louise is missing the term 30x3.
B
Louise could have used the formula for a perfect square trinomial.
C
Louise squared each term in the binomial rather then using the distributive property.
3

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.

A
There are 2 terms in the product.
B
There are 3 terms in the product.
C
There are 4 terms in the product.
D
The product is degree 1.
E
The product is degree 2.
F
The product is degree 4.
4

What is the product of the binomials (4a – 1) and (2b + 3)?

A
18ab – 3
B
8a2b2 + 10ab – 3
C
6ab + 7a – 2b – 3
D
8ab + 12a – 2b – 3
6

Which expressions can represent the length and width of the garden?

A
length = x2 – 3 feet; width = 2 feet
B
length = 2x + 3 feet; width = x – 2 feet
C
length = 2x + 2 feet; width = x – 3 feet
D
length = 2x – 3 feet; width = x + 2 feet
7

Louise completed the work shown below.(5x3 + 3)2 = (5x3)2 + (3)2 = 25x6 + 9Determine if Louise’s answer is correct. Explain.

Answer:

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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