Multiplying Polynomials And Simplifying Expressions

5 September 2022
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16 test answers

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question
What is the product? (4y βˆ’ 3)(2y2 + 3y βˆ’ 5)
answer
8y^3 + 6y^2 - 29y + 15
question
Use the chart to multiply the binomial by the trinomial. What is the product?
answer
NOT y3 - 6y2 + 27
question
The polynomial x3 + 8 is equal to
answer
NOT (x - 2)(x2 + 2x + 4).
question
The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x - 3. What is AB - C2 in simplest form?
answer
NOT 3x3 + x2 - 6x + 9
question
The product of a binomial and a trinomial is x 3 + 3 x 2 βˆ’ x + 2 x 2 + 6 x βˆ’ 2. Which expression is equivalent to this product after it has been fully simplified?
answer
x3 + 5x2 + 5x - 2
question
Fiona wrote out the description of each step for her multiplication of the binomial and trinomial (2x - 3)(5x2 - 2x + 7).In which step did Fiona make an error?
answer
Step 2
question
Simplify the expression -2(p + 4)2 - 3 + 5p. What is the simplified expression in standard form?
answer
-2p2 - 11p - 35
question
Iliana multiplied 3p - 7 and 2p2 - 3p - 4. Her work is shown in the table.Which is the product?
answer
6p3 - 23p2 + 9p + 28
question
Tomas learned that the product of the polynomials (a + b)(a2 - ab + b2) was a special pattern that would result in a sum of cubes, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.Which product should Tomas choose?
answer
NOT (2x + 1)(2x2 + 2x - 1)
question
What is the product of (2p + 7)(3p2 + 4p - 3)?
answer
6p3 + 29p2 + 22p - 21
question
Sharina simplified the expression 3(2x - 6 - x + 1)2 - 2 + 4x. In Step 1 she simplified within the parentheses. In Step 2 she .expanded the exponent.Which is a possible next step?
answer
Distribute the 3 to each term in the parentheses by multiplying.
question
The formula for the area of a parallelogram is A = bh, where b is the base and h is the height.Which simplified expression represents the area of the parallelogram?
answer
NOT -4x3 - 14x + 24 square centimeters
question
Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x - 2) and got the expression below. (2x)(x2) + (2x)(x) + (2x)(-2) + (3)(x2) + (3)(x) + (3)(-2) Which is the simplified product?
answer
2x3 + 5x2 - x - 6
question
Chin made an error in his chart showing the multiplication of the binomial by the trinomial.Which change can be made to correct the chart?
answer
The expression 6x should be 6x2.
question
Use the chart to multiply the binomial by the trinomial. (y+3)(Y^2-3Y+9)
answer
NOT y3 + 6y2 + 27
question
What is the product? (x βˆ’ 3)(2x2 βˆ’ 5x + 1)
answer
2x3 βˆ’ 11x2 + 16x βˆ’ 3