ALGEBRA AND TRIGONOMETRY
UPDATED ACTUAL QUESTIONS AND
CORRECT ANSWERS COMPLETE STUDY
GUIDE FULL SOLUTION
●● Discriminant > 0
Answer: 2 real solutions
●● Discriminant = 0
Answer: 1 real solution
●● Discriminant < 0
Answer: 2 imaginary solutions
●● Quadratic Formula
Answer: x=(-b±√(b^2-4ac))/(2a)
●● Axis of Symmetry
Answer: x=-b/(2a)
●● Sum of Roots
, Answer: -b/a
●● Product of Roots
Answer: c/a
●● Rational Root Theorem
Answer: Possible roots = factors of constant / factors of leading
coefficient
●● Remainder Theorem
Answer: Remainder when dividing by x-a is f(a)
●● Factor Theorem
Answer: If f(a)=0 then x-a is a factor
●● Multiplicity Even
Answer: Touches and bounces
●● Multiplicity Odd
Answer: Crosses the x-axis
●● Maximum Turning Points
UPDATED ACTUAL QUESTIONS AND
CORRECT ANSWERS COMPLETE STUDY
GUIDE FULL SOLUTION
●● Discriminant > 0
Answer: 2 real solutions
●● Discriminant = 0
Answer: 1 real solution
●● Discriminant < 0
Answer: 2 imaginary solutions
●● Quadratic Formula
Answer: x=(-b±√(b^2-4ac))/(2a)
●● Axis of Symmetry
Answer: x=-b/(2a)
●● Sum of Roots
, Answer: -b/a
●● Product of Roots
Answer: c/a
●● Rational Root Theorem
Answer: Possible roots = factors of constant / factors of leading
coefficient
●● Remainder Theorem
Answer: Remainder when dividing by x-a is f(a)
●● Factor Theorem
Answer: If f(a)=0 then x-a is a factor
●● Multiplicity Even
Answer: Touches and bounces
●● Multiplicity Odd
Answer: Crosses the x-axis
●● Maximum Turning Points