THE ________ OF A POLYNOMIAL IS THE COEFFICIENT OF THE TERM WITH THE HIGHES DEGREE.
LEADING COEFFICIENT
HOW CAN YOU DESCRIBE THE END BEHAVIOR OF THE GRAPH?
THE DEGREE AND LEADING COEFFICIENT
WHAT CLASSIFIES THE POLYNOMIAL
P(X)=5X5−20X4+5X3+50X2−20X−40 DEGREE AND BY NUMBER OF TERMS?
QUINTIC POLYNOMIAL
WHAT ARE THE ROOTS OF
G(X) = (X+2)(X-5)(X-1) ?
-2,5,1
HOW DO YOU DEFINE THE MAXIMUM NUMBER OF ROOTS IN A POLYNOMIAL?
EQUAL TO THE HIGHEST DEGREE OF A POLYNOMIAL
WHEN THE DEGREE OF A POLYNOMIAL FUNCTION IS EVEN AND THE LEADING COEFFICIENT IS POSITIVE. WHAT IS THE END BEHAVIOR OF THE GRAPH?
RISES TO THE LEFT AND RIGHT
State the maximum number of turns in the following graphs G(x)= x5-4x3+6?
4 turns
IS A LINEAR FUNCTION A POLYNOMIAL?
ALWAYS
STATE THE MAXIMUM NUMBER OF TURNS THE GRAPH OF EACH FUNCTION COULD MAKE. P(X) -X3+X2+2X. AND WHAT CLASSIFIES THE POLYNOMIAL DEGREE AND BY NUMBER OF TERMS?
MAX NUMBER OF TURNS: 2
QUADRATIC POLYNOMIAL
Given: P(x) = x2 - 2x - 48
Which choice shows the x-intercepts of this polynomial function?
(x+6)(x-8) x=-6 x=8 |
HOW MANY POSSIBLE ROOTS THAN A FOURTH DEGREE POLYNOMIALS CAN HAVE?
4
WHAT IS THE BEHAVIOR OF THE
P (X) = -X3-X2+2X?
THE BEHAVIOR OF THE GRAPH DECREASES ON THE RIGHT AND INCREASES TO THE LEFT.
IT HAS ODD DEGREE AND NEGATIVE LEADING COEFFICIENT
WHAT SHOWS THE ROOT OF THIS POLYNOMIAL FUNCTION
P(X) = x3 + 6x2 + 8x?
Y=0
(X+2)(X+4)
X=-2 X=-4
X = 0, -2, -4
A polynomial function is defined to be
f (x) = (x + 3)(x - 2)2.
Which choice describes the graph's behavior at the x-axis?
| The graph only touches the x-axis at x = 2, but crosses the x-axis at x = -3. |
X=-2 3 5 –17 -25 10
-6 2 30 -10
3 -1 –15 5
X= 1/3 3 –1 -15 5
1 0 -5
3 0 -5
3X2-15
(X+5)(X-5)
X=-5 X=5
x=(-2,1/3,-5,5)
THE BEHAVIOR OF THE GRAPH RISES TO THE RIGHT AND FALLS TO THE LEFT.