exponent rules
x7* x4
x11
(x2 + 4x + 3) divided by (x + 1)
x + 3
(x2 + 3x - 15) div by (x - 2)
x + 5
y = x(x - 3)
y = x2 - 3x
y = 7x5 - 3x4 + 1
What is the lead coefficient and the degree of the polynomial?
l.c. = 7 and degree = 5
x2y5 * x3y
x5y6
(3x3 - 7x2 + 9x - 14) div. by (x - 2)
3x2 - x + 7
(x3 - 8x2 + 19x - 9) div by (x - 4)
x2 - 4x + 3 R 3
y = (x - 2)(x - 4)
y = x2 - 6x + 8
y = 5x4 - 2x3 + 2x2 - 3x + 1
What is the end behavior?
up, up
x-3/x-4
x
(2x2 - 5x - 4) div. by (x - 3)
2x + 1 R -1
(2x2 + 13x + 15) div by (x + 5)
2x + 3
y = x(x - 3)(x + 2)
y = x3 - x2 - 6x
y = (x - 8)(x + 4)2(x - 3)3
What are the zeros and the multiplicity of each?
8, -4(2), 3(3)
(5x-4y2)/(10x2y-3)
y5/2x6
(4g2 - 9) div. by (2g + 3)
2g - 3
(2x3 + 4x - 6) div by (x + 3)
2x2 - 6x + 22 R -72
y = (x - 2)3
y = x3 - 6x2 + 12x - 8
y = x2(x - 5)3
What is the degree, sign of the lead coefficient and end behavior of the graph?
degree = 5
l.c. is positive
end behavior is down, up
[(-2x2y3)/(3x-3y)]-2
9/(4x10y4)
(a3 - 64) div by (a - 4)
a2 +4a + 16
(6x4 + 15x3 - 28x - 6) div by (x + 2)
6x3 + 3x2 - 6x - 16 R 26
y = x(x + 2)3
y = x4+ 6x3 + 12x2 + 8x
Graph y = x3(x - 2)(x + 1)2(x + 6)4
See student graph