ALGEBRA AND TRIGONOMETRY
Algebra and Trigonometry | Questions with 100% Verified Answers | Latest Update
COMPREHENSIVE EXAM SCRIPT VERIFIED
2026/2027
QUESTIONS AND SOLUTIONS GRADED
APLUS
●● Factoring ax²+bx+c
Answer:
●● Factoring by grouping
Answer:
●● Canceling out opposites
Answer: If both terms are opposite signs they can be crossed out and
replaced by a negative 1.
●● Factoring out a -1
Answer: To factor out a -1, remove the negative and change the signs of
the terms
●● Operations with fractions
Answer:
, ●● Complex fractions
Answer:
●● Equations with fractions
Answer: To solve equations with fraction, find a common denominator.
Drop the denominators
Solve the resulting equation.
Check the answer(s) in the denominators for extraneous roots.
●● Quadratic formula (Find the Roots)
Answer: the quadratic formula is x equals negative b plus or minus the
square root of b squared minus 4 times a times c all over 2 times a.
●● Completing the square
Answer:
●● Discriminant (describe the roots)
Answer: if the discriminant is 0, the roots are real, rational and equal.
if the discriminant is negative, the roots are complex or imaginary.
if the discriminant is a perfect square, the roots are real, rational, and
unequal.
if the discriminant is not a perfect square, the roots are real, irrational,
and unequal
Algebra and Trigonometry | Questions with 100% Verified Answers | Latest Update
COMPREHENSIVE EXAM SCRIPT VERIFIED
2026/2027
QUESTIONS AND SOLUTIONS GRADED
APLUS
●● Factoring ax²+bx+c
Answer:
●● Factoring by grouping
Answer:
●● Canceling out opposites
Answer: If both terms are opposite signs they can be crossed out and
replaced by a negative 1.
●● Factoring out a -1
Answer: To factor out a -1, remove the negative and change the signs of
the terms
●● Operations with fractions
Answer:
, ●● Complex fractions
Answer:
●● Equations with fractions
Answer: To solve equations with fraction, find a common denominator.
Drop the denominators
Solve the resulting equation.
Check the answer(s) in the denominators for extraneous roots.
●● Quadratic formula (Find the Roots)
Answer: the quadratic formula is x equals negative b plus or minus the
square root of b squared minus 4 times a times c all over 2 times a.
●● Completing the square
Answer:
●● Discriminant (describe the roots)
Answer: if the discriminant is 0, the roots are real, rational and equal.
if the discriminant is negative, the roots are complex or imaginary.
if the discriminant is a perfect square, the roots are real, rational, and
unequal.
if the discriminant is not a perfect square, the roots are real, irrational,
and unequal
