Polynomial Parts
Identify the leading degree of 4x3 - 2x + 7
3
Rewrite 3x + 5x2 - 1 in standard form
5x2 + 3x - 1
Expand x(x + 4)
x2 + 4x
Describe the end behavior of x2
As x→∞, f(x)→∞ and as x→-∞, f(x)→∞ (both ends up)
Identify the leading coefficient of -6x5 + 3x2 - 1
-6
Rewrite 7 - 4x3 + 2x in standard form
-4x3 + 2x + 7
Expand (x + 3)(x + 2)
x2 + 5x + 6
Describe the end behavior of -x3
As x→∞, f(x)→-∞ and as x→-∞, f(x)→∞
Identify the constant term of 8x4 - 5x2 + 9 - 6
3
Rewrite 2x4 - 6 + x2 - 3x in standard form
2x4 + x2 - 3x - 6
Expand (2x - 1)(x + 5)
2x2 + 9x - 5
Describe the end behavior of 4x5 - 2x
As x→∞, f(x)→∞ and as x→-∞, f(x)→-∞ (left down, right up)
Identify the leading degree and leading coefficient of
-(-3x7 + 4x3 - x + 2x + 2)
Degree = 7, Leading coefficient = 3
Rewrite 5x - 8x5 + 2x3 - 1 in standard form
-8x5 + 2x3 + 5x - 1
Expand (3x - 2)(x - 4)
3x2 - 14x + 8
Describe the end behavior of -7x4 + 3x2
As x→∞, f(x)→-∞ and as x→-∞, f(x)→-∞ (both ends down)
Identify the degree, leading coefficient, and constant term of 5 - 2x9 + 3x4
Degree = 9, Leading coefficient = -2, Constant term = 5
Rewrite 9 - x6 + 4x2 - 3x6 in standard form and identify the degree
-4x6 + 4x2 + 9, Degree = 6
Expand (2x + 3)(x2 - x + 1)
2x3 + x2 - x + 3
Describe the end behavior of -2x7 + 4x3 - x
As x→∞, f(x)→-∞ and as x→-∞, f(x)→∞ (left up, right down)