# Multiplying Polynomials And Simplifying Expressions

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question
What is the product? (4y ā 3)(2y2 + 3y ā 5)
8y^3 + 6y^2 - 29y + 15
question
Use the chart to multiply the binomial by the trinomial. What is the product?
NOT y3 - 6y2 + 27
question
The polynomial x3 + 8 is equal to
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?
NOT 3x3 + x2 - 6x + 9
question
The product of a binomial and a trinomial is x 3 + 3 x 2 ā x + 2 x 2 + 6 x ā 2. Which expression is equivalent to this product after it has been fully simplified?
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?
Step 2
question
Simplify the expression -2(p + 4)2 - 3 + 5p. What is the simplified expression in standard form?
-2p2 - 11p - 35
question
Iliana multiplied 3p - 7 and 2p2 - 3p - 4. Her work is shown in the table.Which is the product?
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?
NOT (2x + 1)(2x2 + 2x - 1)
question
What is the product of (2p + 7)(3p2 + 4p - 3)?
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?
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?
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?