Multiplying Polynomials and Simplifying Expressions
The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified?
x3 + 5x2 + 5x - 2
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?
The expression 6x should be 6x2.
Simplify the expression -2(p + 4)2 - 3 + 5p. What is the simplified expression in standard form?
-2p2 - 11p - 35
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?
2x3 + 5x2 - x - 6
What is the product? (x − 3)(2x2 − 5x + 1)
2x3 − 11x2 + 16x − 3
What is the product? (4y − 3)(2y2 + 3y − 5)
8y^3 + 6y^2 - 29y + 15
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
Use the chart to multiply the binomial by the trinomial. (y+3)(Y^2-3Y+9)
NOT y3 + 6y2 + 27
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.
The polynomial x3 + 8 is equal to
NOT (x - 2)(x2 + 2x + 4).
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
What is the product of (2p + 7)(3p2 + 4p - 3)?
6p3 + 29p2 + 22p - 21
Iliana multiplied 3p - 7 and 2p2 - 3p - 4. Her work is shown in the table.Which is the product?
6p3 - 23p2 + 9p + 28
Use the chart to multiply the binomial by the trinomial. What is the product?
NOT y3 - 6y2 + 27
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)
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