Degree
Coefficients
Terms
Simplify
Solve the questions
100
What is the degree of this polynomial? (4x^2)-3
What is 2?
100
Identify the coefficient of x^2 (4x^2) - 3
What is 4?
100
Gather like terms (-2x^2)-4xy+7+2xy
What is -4xy+2xy=-2xy?
100
Simplify: 4m-3m
What is m?
100
Describe a situation to fit each polynomial 4x+16
What is ex.The perimeter of a square with a side length of x+4?
200
Identify its degree -3y-4
What is 1?
200
Identify the coefficient of x^2 (-6x^2)-2xy+5
What is -6?
200
Gather like terms (-4x^2)-9+(8x^2)+2y
What is (-4x^2)+(8x^2)=(4x^2)
200
Simplify: 6x+(3x^2)+2-(8x^2)
What is (-5x^2)+6x+2?
200
Describe a situation to fit each polynomial 20-2c
What is ex. The amount of water you have left if you start with 20 cups and pour out 2-cup measures?
300
Identify the degree of polynomial. -6x^2 - 2xyz + 5
What is 3?
300
Identify the coefficient of x^2 -3y-4
What is 0?
300
Gather like terms (3x^2)+2x-4x-8
What is 2x-4x=-2x?
300
Model the sums. Then write a simplified polynomial for the sum: (-x+2) + (-4x+1)
What is -5x+3
300
Describe a situation to fit each polynomial -16n+52
What is ex. The amount of money you have left if you start with $52 and buy n items costing $16 each?
400
Write a polynomial to match the same degree as (-t^2)+4
What is ex. (s^2)+4?
400
Write a polynomial using the same coefficient of x as (-2x^2)+5x
What is ex. 5x+y+11?
400
Write a polynomial to match the same number of terms as (4t^2)-8st+7
What is ex. (-3k^2)+4k+9?
400
Write a simplified polynomial for the sum: (-3x^2+2xy+5)+(3x^2-4xy-7)
What is -2y^2+x-2?
400
Liam gathered like terms for the polynomial (2j^2)-5k+7j. His result is 9j-5k. Is he correct? Explain.
What is he is not correct? He added the j coefficient and the j^2 coefficient, but they are not like terms.
500
List two pairs of second-degree polynomials that might have been added to get that sum. (-6x^2)-5xy+1
What is ex. (-4x^2)-5xy+1 and (-2x^2) (-3x^2)-5xy and (-3x^2)+1
500
you add two simplified second-degree polynomials with one variable, x. The first has two negative coefficients and a positive constant. The second has one negative coefficient, a constant of 0, and one positive coefficient. What could the signs of the coefficients and the constant for the sum be?
What is ex. The constant in the sum must be positive. At least one of the coefficients of x and x^2 must be negative since it is the sum of two. The other coefficient could be positive, negative or zero.
500
Gather like terms (-3y^2)-4-5x-2x+(5y^2)+2
What is (-3y^2)+(5y^2)=(2y^2) -5x-2x=-7x -4+2=-2
500
Model the sums. Then write a simplified polynomial for the sum: (-4x^2-3x-4) + (-2x^2+2x+4)
What is -6x^2-x?
500
Evan bought 4 composters at one price, p, and another 2 composters that cost $2 more. Record a polynomial to describe the total price and simplify the polynomial.
What is 6p+4?
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