MAC 2311 Exam 1 questions with
complete solutions
Factoring trick:
4x²-8x-5 - ANS ✔✔Multiply: -20
Add: -8
Factors: -10, +2
(4x-10)(4x+2)
(2x-5)(2x+1)
Sum of differences:
x³-y³ - ANS ✔✔(x-y)(x²+xy+y²)
Sum of differences:
x³+y³ - ANS ✔✔(x+y)(x²-xy-y²)
Factoring out negative numbers - ANS ✔✔add the exponents
Point-slope form - ANS ✔✔Y-y₁=m(x-x₁)
Domain for denominator - ANS ✔✔denominator=0 and solve. numbers are NOT in domain
Domain for square root - ANS ✔✔≥0 and solve. the answer is part of the domain.
³√no restrictions
complete solutions
Factoring trick:
4x²-8x-5 - ANS ✔✔Multiply: -20
Add: -8
Factors: -10, +2
(4x-10)(4x+2)
(2x-5)(2x+1)
Sum of differences:
x³-y³ - ANS ✔✔(x-y)(x²+xy+y²)
Sum of differences:
x³+y³ - ANS ✔✔(x+y)(x²-xy-y²)
Factoring out negative numbers - ANS ✔✔add the exponents
Point-slope form - ANS ✔✔Y-y₁=m(x-x₁)
Domain for denominator - ANS ✔✔denominator=0 and solve. numbers are NOT in domain
Domain for square root - ANS ✔✔≥0 and solve. the answer is part of the domain.
³√no restrictions