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5.1 – 5.3 Review
Question and Answer Samples and Techniques
Simplify the expression:(x4y-2)(x-3y8)
xy5
Simplify the expression:
b15/a5
Simplify the expression: x3y7
x-4y0
x7y7
Simplify the expression:
2x3
3y5
6
9
2
3
2 3
2
x
y
y x
x
Use synthetic substitution to evaluate the polynomial:f(x) = 5x3 + 3x2 –x + 7; x = 2
57
Use Synthetic Substitution to evaluate the polynomial function: g(x) = -2x4 – x3 + 4x – 5; x = -1
-10
Perform the indicated operation:(x3 + x2 – 6) – (2x2 + 4x – 8)
X3 – x2 – 4x + 2
Decide whether the function is a polynomial function. If it is, state the degree and leading coefficientx3 + x2 – 6x-1
Not a polynomial function
Decide whether the function is a polynomial function. If it is, state the degree and leading coefficient-2x5 + x4 – 1/3x
YesDegree: 5th degree
Leading coefficient: -2
Perform the indicated operation:(-3x2 + 4x – 10) + (x2 – 9x + 15)
-2x2 – 5x + 5
Perform the indicated operation:(x - 5)(x2 – 5x + 7)
x3 – 10x2 + 32x - 35
Perform the indicated operation:(x + 3)(x – 6)(3x - 1)
x3 – 10x2 + 32x - 35
Describe the end behavior of the graph of the polynomial function by completing the statements: f(x) = x4 – 18x2 + 21 f(x) ____ as x -∞ and f(x) _____ as x +∞
+∞ +∞
Describe the end behavior of the graph of the polynomial function by completing the statements: f(x) = -x3 – 22x2 + 3 f(x) ____ as x -∞ and f(x) _____ as x +∞
+∞ -∞
Practice Factoring: x2 + 2x - 15
(x + 5)(x – 3)
Graph using a table: f(x) = x3 –x2 + 3
Graph using a table: f(x) = -x4 + 5
Practice Factoring: x2 + 8x + 12
(x + 2)(x + 6)
Factor: y3 – 4y2 – 12y
y(y – 6)(y + 2)
Factor: 2y5 – 18y3
2y3(y - 3)(y + 3)
Factor: 3x3 + 30x2 + 75x
3x(x + 5)2
Factor: 4x4 – 16x3 + 16x2
4x2(x – 2)2
Factor: 5g5 - 80g3
5g3(g – 4)(g + 4)
Assignment
P 1014 4-7,12-15
Come get help if you do not understand.
We will have a quiz tomorrow 5.1 – 5.3 information only