#1
What is the result of multiplying (3x + 2) by (2x - 5)?
6x^2 + 11x - 10
ExplanationExpanding two binomials using distributive property.
#2
Which of the following is a factor of the polynomial x^2 - 4?
(x - 2)
ExplanationRecognizing a difference of squares.
#3
Which of the following is a factor of the polynomial x^3 - 8?
(x - 2)
ExplanationRecognizing a difference of cubes.
#4
What is the sum of the roots of the polynomial equation x^2 - 5x + 6 = 0?
5
ExplanationUsing Vieta's formulas for quadratic equations.
#5
Which of the following is a factor of the polynomial x^3 + 8?
(x + 2)
ExplanationRecognizing a sum of cubes.
#6
What is the product of (2x^2 + 3x - 4) and (x + 1)?
2x^3 + 3x^2 - x - 4
ExplanationMultiplying two polynomials using distributive property.
#7
Which method can be used to factorize the polynomial x^3 - 8?
Difference of cubes
ExplanationFactoring a binomial difference where both terms are perfect cubes.
#8
Which method is used to find the roots of a polynomial equation?
Quadratic Formula
ExplanationMethod for finding the solutions of a quadratic equation.
#9
What is the result of multiplying (3x^2 - 2x + 5) by (2x^2 + 4x - 3)?
6x^4 + 4x^3 + 7x^2 - 10x + 15
ExplanationMultiplying two polynomials using distributive property.
#10
What is the result of dividing (3x^3 - 5x^2 + 4x - 6) by (x - 2)?
3x^2 - 11x + 20
ExplanationUsing polynomial long division.
#11
What is the product of (x^3 - 1) and (x^2 + x + 1)?
x^5 + x^4 + 2x^3 - x^2 - x - 1
ExplanationMultiplying two polynomials using distributive property.
#12
What is the result of multiplying (x^2 + 2x + 1) by (x^2 - 2x + 1)?
x^4 - 4x^2 + 1
ExplanationMultiplying two binomials using distributive property.
#13
What is the result of multiplying (x^2 - 3x + 2) by (x^2 + 3x + 2)?
x^4 - 9x^2 + 4
ExplanationMultiplying two polynomials using distributive property.
#14
What is the result of multiplying (x^2 - 4) by (x^2 + 4)?
x^4 - 16
ExplanationMultiplying two binomials using distributive property.
#15
What is the result of multiplying (x^3 + 2x^2 + 3x + 4) by (x - 2)?
x^4 - 2x^3 + 7x^2 + 2x - 8
ExplanationMultiplying two polynomials using distributive property.