Degree of a Polynomial
What is the degree of 3x3
3
Expand using distributive property. 4x(2y+8z)
8xy+32xz
Solve by multiplying. (2x+3)(2x+7)
4x2+20x+21
Expand and simplify. (x-9)(x+9)
x2-81
A square metal plate of sides 25cm is heated so that each side increases in length by x cm. Write and simplify an expression for the area for the heated plate.
625+50x+x2
What is the degree of 17
0
Expand using distributive property. (2x2+x-6)(-4x)
-8x3-4x2+24x
Solve by multiplying. (t3+2s)(t3+2s)
t6+4st3+4s2
Expand and simplify. (2a3-7)(2a3+7)
4a6-49
A rectangle has sides (4a-3)cm and (2a+7)cm. Write and simplify an expression for the area of the rectangle.
8a2+22a-21
What is the degree of 3xy2z3
6
Expand and simplify. 2(x+3)+4(2x-1)
10x+2
Expand and simplify. (2y2-3)(5y2+1)
10y7-15y5+2y2-3
Expand and simplify. 6(8x-3y)(2x+y)
96x2+12xy-18y2
A rectangle has length (x2+4x-1)cm and width (3x-2)cm. Write and simplify an expression for the area of the rectangle.
3x3+10x2-11x+2
What is the degree of 2y3+y4-y+13
4
Expand and simplify. 4(x2+3)-(2x2-1)
2x2+13
Expand and simplify. (8x-3y)(2x+y)
16x2+2xy-3y2
Expand and simplify. (3a-b)2-(2a+5b)2
5a2-26ab-24b2
Dice for a children's board game are cubes with an edge length of (3x-2)mm. Write and simplify an expression for the volume of the dice.
27x3-54x2+36x-8
What is the degree of 5x3yz5+3x2yz4
9
Expand and simplify.
3a(2a2b-ab+b2)-6b(a3+3ab-5b2)
-3a2b-15ab2+30b3
Expand and simplify. (x2+7y2)(2x2-5y2)
2x4+9x2y2-35y4
Expand and simplify. 4(2p+3q)2-(5p-q)(7p+11q)
-19p2+47q2
A rectangular prism has length (5x-2)cm, width (3x-1)cm, and height (3x-1)cm. Write and simplify an expression for the volume of the rectangular prism.
45x3-18x2-5x+2