Factoring Quadratics: A Comprehensive Review

What is the first step in factorizing the polynomial 5x^3 + 320?

• Apply the quadratic formula

• Identify the coefficients

• Find the greatest common factor

• Determine the degree of the polynomial

Which form is used to factorize the sum of two perfect cubes?

• Sum of squares

• Quadratic form

• Difference of squares

• Sum of cubes

How is a polynomial in descending order identified?

• Starts from the highest to the lowest power

• Starts from the lowest to the highest power

• Only contains positive coefficients

• Only contains negative coefficients

What does the vertex form of a quadratic equation reveal directly?

• The coefficients of the equation

• The vertex of the parabola

• The y-intercepts

• The x-intercepts

How is the axis of symmetry in a quadratic equation found?

• x = -b / 2a

• x = b / 2a

• x = -c / 2b

• x = c / 2b

What are the coordinates of the vertex in the equation y = 2x^2 + 4x + 9?

• (-1, 7)

• (1, 7)

• (-1, -7)

• (1, -7)

What does the y-intercept of a graph represent?

• The minimum value of the function

• The maximum value of the function

• The point where the graph crosses the y-axis

• The point where the graph crosses the x-axis

What is the effect of a negative coefficient in the vertex form of a quadratic equation?

• Shifts the graph upwards

• Shifts the graph to the right

• Shifts the graph downwards

• Shifts the graph to the left

What does the slope of a line represent?

• The average rate of change

• The maximum value of the function

• The y-intercept of the line

• The x-intercept of the line

Which method can be used to solve a quadratic equation if it has imaginary solutions?

• Factoring

• Simplifying the equation

• Graphing

• Using the quadratic formula