Polynomials, Linear Factors, and Zeros
Solving Polynomial Equations
Dividing Polynomials
Polynomial Theorems
Binomial Theorem and Transforming Polynomials
100
P(x)=-(x)^4 + 2(x)^3 +3(x)^2-(6x) + 12
What is y=2(x)^3 -(6x) + 3(x)^2 -(x)^4 +12, written in standard form?
100
x=3, x=8
What are the real or imaginary solutions of the following equation, " (x^2)-11x=-24 (solve by factoring)?
100
=(x^2)+6x+9
What is ((x^3)+7(x^2)+15x+9) divided by (x+1)?
100
=(+/-) 1,2,3,6
What are all the possible rational roots of the following equation, "(x^3)+4x^2-10X+6"?
100
1 8 28 56 70 56 28 8 1
What are the coefficients in the 8th row of Pascals triangle?
200
f(x)=(x^3) - 4(x^2) -11x-6
What is the polynomial function when the zeros are at: x=-1, x=-1, X=6 ?
200
x=2 (+/-)i sqrt2/2
What are the real or imaginary solutions of the following equation, "2(x^2)+3=4x" (solve by factoring)?
200
=(x^2)-11x+37, R-128
What is ((x^3)-7(x^2)-7x+20) divided by (x+4)?
200
=-3
What are the rational roots of ((x^3)+2(x^2)+4x+21?
200
(X^3)+27(x^2)+243x+729
What is the expansion of (x+9)^3?
300
x=0, x=-1/2 x=1 (all multiplicity of 1)
What is the zeros and multiplicity of the following equation: y=4(x^3) - 2(x^2) -2x?
300
x=0 and x=-1 (+/-) sqrt 37/2
What are the real or imaginary solutions of the following equation, "3(x^3) + 3(x^2)-2(x)+5=0
300
9(x^2)+12x+40, R 120
What is (9(x^3)-15(x^2)+4X) divided by (x-3)
300
5-sqrt3 and sqrt 2
What are the additional roots of P(x) if it has rational coefficients and roots at, "5+sqrt3 and -sqrt2?
300
y=-(x-2)^3+1
What is the cubic function y=X^3 after a reflection across the x-axis, a translation of 1 unit up, and a translation of 2 units right?
400
x=-0.24142, x=1.6633
What is the zeros of the equation" f(x)=(x^4)-4x-1", using a graphing calculator?
400
no real roots (does not cross the x-axis)
What are the real roots of the following equation (using a graphing calculator), "(x^4)+3(x^2)-2(x)+5=0"
400
=(x^2)-3x+9
What is ((x^3)+27) divided by (x+3)?
400
y=(x^3) +3(x^2)+25x+75
What is a polynomial function with the given roots (-3, 5i)?
400
y=6(x+3)^3
What is the cubic function y=X^3 after a vertical stretch by the factor of 6, and a translation 3 units left?
500
Maximum turning points are (4-1=3) and graph is up and up.
What is the maximum turning points and the end behavior of the graph of "f(x)=4(x^4) + 6X^3-x?
500
x=2.3949
What are the real roots of the following equation, "(x^2)+3=(x^3)-5" (using a graphing calculator)?
500
=x+1, R 4
What is ((X^2)+3) divided by (x-1)?
500
y=(X^4)-4(x^3)-10(x^2)+68x-80
What is a polynomial function with the given roots, "3+i, 2 and -4"?
500
y=(x^4)-10(x^3)+25(x^2)-10x+24 (answers may vary)
What is a quartic function whose only real zeros are at 4 and 6?
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