Classify by Degree & Terms
z2 - 12
Is this a 2nd degree binomial?
5y - 7y2 + 10 - 10y2 + y
What is -17y2 + 6y + 10?
(7p2 - 5p + 10) + (p2 - 8)
What is 8p2 - 5p + 2?
(4r2 + 9r - 4) - (-2r2 + 7r + 6)
What is 6r2 + 2r - 10?
A student is cutting a square out of a piece of poster board. The area of the poster board can be represented as (4x2 + 14x - 8) in2. The area of the square can be represented as (x2 + 8x + 16) in2. Write an expression to represent the area of the poster board left after the student cuts out the square.
Is (3x2 + 6x - 24) in2 of the poster board left over?
r2 + 8 - 7r3s
Is this a 4th degree trinomial?
4b(a + b) - 8b2 + 9ab
What is -4b2 + 13ab?
(12y - 8 + 6y2) + (9 - 4y)
What is 6y2 + 8y + 1?
(9z2 + 28) - (z2 + 8z - 8)
What is 8z2 - 8z + 36?
The length of a rectangle is represented by 4a + 3b, and its width is represented by 3a - 2b. Write a polynomial for the perimeter of the rectangle. What is the minimum perimeter of the rectangle if a = 12 and b is a non-zero whole number?
Is the perimeter of the rectangle 14a + 2b?
Is the minimum perimeter of the rectangle 170?
4p4 + 7p
Is this a binomial with a degree of 4?
16 - 5x2 + 6x - 2x2 + 10
Is it -7x2 + 6x + 26?
6m2n + mn - 15 and -10m2n + mn + 12
What is -4m2n + 2mn - 3?
(4x3 + 2x) - (8x3 − 5x + 4)
What is -4x3 + 7x - 4?
A company’s cost, in dollars, of making x tablet computers can be represented by 25x +150. The predicted revenue of selling x tablet computers is 50 + 30x dollars. Write a polynomial that represents the profit of selling x computers.
What is 5x - 100?
-7x2 + 6x + 26
Is this a 2nd degree trinomial?
p4 - 5p + 3p (p3 + 4)
What is 4p4 + 7p?
(4x3 + 2x) and (8x3 − 5x + 4)
What is 12x3 − 3x + 4?
(4x2 + 21xy − 7y2) − (10x2 − 20xy + 11y2)
What is -6x2 + 41xy + 4y2?
A community swimming pool has a deep end and a shallow end. The volume of water in the deep end can be represented by (2x3 + 12x2 + 10x) ft3, and the volume of water in the shallow end can be represented by (4x3 - 100x) ft3. Write an expression that represents the total volume of water in the pool in ft3.
Is the total volume of water in the pool (6x3 + 12x2 - 90x) ft3?
3x3y2 - 9x + 1
Is this a trinomial with a degree of 5?
2x3 + 4x + 3x2 + x + x3 + 2
What is 3x3 + 3x2 + 5x + 2?
(4x2 + 21xy − 7y2 ) + (10x2 + 11y2 − 20)
What is 14x2 + 21xy + 4y2 - 20?
(6m2n + mn - 15) - (-10m2n + mn + 12)
What is 16m2n - 27?
The polynomial -2x2 + 500x represents the budget surplus of the town of Alphaville for the year 2010. Alphaville’s surplus in 2011 can be modeled by -1.5x2 + 400x. If x represents the yearly tax revenue in thousands, by how much did Alphaville’s budget surplus increase from 2010 to 2011? If Alphaville took in $750,000 in tax revenue in 2011, what was the budget surplus that year?
Did the surplus increase by 0.5x2 -100x?
Was Alphaville's budget surplus $206,250 thousand?