Exponents
Polynomials
Remainder and Factor Theorem
Rational zeros
Fundamental Theorem of Algebra
100
Solve. 3^(3) x 3^(2)
What is 9^(5)
100
Write in standard form: Y= -3+6X+8X^(4)
What is Y= 8X^(4)+6X-3
100
State the remainder theorem.
What is If a polynomial f(X) is divided by X-K, then the remainder is R=F(K)
100
List the possible rational zeros. Y= X^(3)-3X+28
What is (plus or minus) 1, 2, 4, 7, 14, 28.
100
Fill in the blank: For the equation (x-1)^(2)(x+2)=0, a(n) ______ solution is 1 because the factor x-1 appears twice.
What is repeated
200
Simplify: W^(-2)/W^(6)
What is 1/W^(8)
200
Solve. X(2X^(2)-5X+7)
What is 2X^(3)-5X^(2)+7X
200
Divide using polynomial long division. (X^(2)+X-17) / (X-4)
What is X+5+(3/X-4)
200
Find all real zeros of the function. Y= X^(3)-31X-30
What is -5, -1, 6
200
Identify the number of solutions or zeros. X^(4)+2X^(3)-4X^(2)+X-10=0
What is 4
300
Solve. (3/5)^(4)
What is (3)^4/(5)^4
300
Factor: 14X^(2)-21X
What is 7X(2X-3)
300
Divide using synthetic division. (X^(2)+8X+1) / (X+4)
What is X+4+(-15/X+4)
300
Find all real zeros of the function. Y= 2X^(3)-7X^(2)+9
What is -1. 3/2, 3
300
Identify the number of solutions or zeros. 9X^(6)-14X^(3)+4X-1=0
What is 6
400
Solve. 6^(3) x 6^(0) x 6^(-5)
What is 1/6^(2)
400
What is the local maximum? Y=.5x^(3)-2x+2.5
What is (-1.2, 4.0)
400
Factor F(X) completely. F(X)= X^(3)-10X^(2)+19X+30; x-6
What is (X-6) (X-5) (X+1)
400
Find all real zeros of the function. Y= 2X^(4)-9X^(3)+37X-30
What is -2, 1, 5/2, 3
400
Write a polynomial function of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. -2, 1, 3
What is Y= X^(3)-2X^(2)-5X+6
500
Solve. X^(2) Y^(-3)/3y^(2) x Y^(2)/X^(-4)
What is X^(6)/3Y^(3)
500
Write a cubic function whose graph passes through the points (-2, 0), (-1, 0), (0, -8), (2, 0).
What is Y=2X^(3)+2X^(2)-8x-8
500
Find the nongiven zeros. F(X)= X^(3)-2X^(2)-21X-18; -3
What is -1, 6
500
Find all real zeros of the function. Y= 2X^(5)+5X^(4)-3X^(3)-2X^(2)+5X+3
What is -3, 1/2, 1
500
Determine the number of positive real zeros. Y= -X^(3)+5X^(2)+12
What is 0
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