Polynomials 1
What is the degree of 4x - 9x2 + 4x3 - 5x4
4
Add the polynomials:
(t2 + 3t3 -3) + (2t2 +7t -2t3)
t3 +3t2 +7t -3
Find the y-intercept of x3 + 2x2 - 5x -6
-6
Give the numbers in the 5th row of pascal's triangle
1 4 6 4 1
Multiply ( v + w )2 Use pascal's triangle or Box method
v2 + 2vw + w2
A polynomial with 1 term is a ?
monomial
Classify the polynomial by terms 4x - 9x2 + 4x3
Trinomial
Subtract the Polynomials:
(k2 + 6k3 -4) - (5k3 + 7k -3k2)
k3 + 4k2 -7k -4
Find the x intercepts of x3 + 2x2 - 5x -6
-3, -1, 2
the maximum number of terms a 4th degree polynomial can have is
5
Multiply (v + w)(v - w)
v2 - w2
A polynomial with 2 terms is a ?
Binomial
Identify the leading coefficient 4x - 9x2 + 4x3 - 5x4
-5
Multiply the Polynomials: 5x2 (2x4)
10x6
Find the relative minimum of x3 + 2x2 - 5x -6
-8
Use pascal's triangle to expand ( g + h )4
g4 + 4g3 h + 6g2 h2 +4gh3 + h4
Factor b3 + c3
(b + c) (b2 - bc + c2 )
If a graphs goes up on the left side and down on the right side is the degree even or odd?
odd
Rewrite in standard form 4x - 9x2 + 4x3 - 5x4
-5x4 + 4x3 - 9x2 + 4x
Multiply the Polynomials:
(d + 3)(d2 - 4d + 1)
d3 - d2 -11d + 3
Find the relative maximum of x3 + 2x2 - 5x -6
4
Use pascal's triangle to expand ( t - 2 )3
t3 - 6t2 + 12t - 8
Factor p3 - q3
(p - q) (p2 + pq + q2 )
If a graphs goes down on the left side and down on the right side is the lead coefficient positive or negative?
negative
Describe the end behavior for 4x - 9x2 + 4x3 - 5x4
x --> - oo y --> - oo
x --> oo y --> - oo
sketch the graph of the polynomial that has
positive intervals (-oo,-4) and (-1,4)
negative intervals (-4,-1) and (4,oo)
show me the graph
Find the average rate of change of x3 + 2x2 - 5x - 6 for the interval [-2,0]
- 5
Use pascal's triangle to expand ( t + 3 )4
t4 + 12t3 + 24t2 + 108t + 81
Factor a3 + 27
(a + 3) (a2 + 3a + 9 )
Graph the polynomial function x + x2 + 2 - 2x5
Show me your graph