#1
Which of the following is a quadratic trinomial?
3x + 7
2x^2 - 5x + 3
4x^3 + 2x^2 - x
x^2 + 2x + 1
#2
What is the first step in factoring a quadratic trinomial?
Multiply the constant term by the leading coefficient
Determine if the trinomial is quadratic
Factor out the greatest common factor
Use the quadratic formula
#3
What is the factored form of the quadratic trinomial: 6x^2 - 11x + 4?
(2x - 1)(3x - 4)
(2x - 4)(3x - 1)
(2x + 1)(3x - 4)
(2x + 4)(3x + 1)
#4
Which method is used to factor a quadratic trinomial with a leading coefficient other than 1?
Trial and error
Quadratic formula
AC method
Difference of squares
#5
Which method can be used to check the correctness of factoring a quadratic trinomial?
FOIL method
Quadratic formula
Completing the square
Multiplying the factors
#6
What is the factored form of the quadratic trinomial: x^2 + 7x + 12?
(x + 3)(x + 4)
(x - 3)(x - 4)
(x + 3)(x - 4)
(x - 3)(x + 4)
#7
What is the factored form of the quadratic trinomial: 4x^2 - 12x + 9?
(2x - 3)^2
(2x - 3)(2x - 3)
(2x + 3)^2
(2x + 3)(2x - 3)
#8
Which property is used in factoring the quadratic trinomial: x^2 - 6x + 9?
Difference of squares
Perfect square trinomial
Sum of cubes
Difference of cubes
#9
What is the factored form of the quadratic trinomial: 2x^2 - 9x - 5?
(2x + 1)(x - 5)
(2x - 1)(x + 5)
(2x - 5)(x - 1)
(2x + 5)(x - 1)
#10
Which of the following is a special case of factoring quadratic trinomials?
Perfect square trinomials
Linear trinomials
Cubic trinomials
Quartic trinomials
#11
What is the factored form of the quadratic trinomial: 3x^2 + 10x + 8?
(3x + 2)(x + 4)
(3x - 2)(x + 4)
(3x + 2)(x - 4)
(3x - 2)(x - 4)
#12
Which technique is used to factor a quadratic trinomial with a leading coefficient greater than 1?
Square root method
Substitution method
Quadratic formula
AC method
#13
What is the factored form of the quadratic trinomial: 2x^2 - 8x + 6?
2(x - 1)^2
2(x + 1)(x - 3)
2(x - 1)(x - 3)
2(x + 1)^2
#14
Which method is typically used to factor quadratic trinomials with leading coefficients greater than 1 and not easily factorable?
Factoring by grouping
Quadratic formula
Completing the square
Trial and error