Finding X-Intercepts and Intercept Form

Mr. Longo explains how to convert quadratic equations from standard form to intercept form by factoring. He provides multiple examples, including simple trinomials, factoring with coefficients, using the difference of squares, splitting the middle term, and perfect square trinomials. The video concludes with a discussion on prime quadratics, emphasizing the importance of factoring skills.

What is the first step in converting a quadratic equation from standard form to intercept form?

• Completing the square

• Solving for x

• Factoring the equation

• Graphing the equation

What is the intercept form of a quadratic equation?

• y = a(x - p)(x - q)

• y = a(x - h)^2 + k

• y = ax^2 + bx + c

• y = ax^2 + bx

What is the purpose of converting a quadratic equation to intercept form?

• To find the axis of symmetry

• To find the y-intercept

• To find the x-intercepts

• To find the vertex

In the example of a straightforward trinomial, what two numbers multiply to 8 and add to 6?

• 1 and 8

• 2 and 4

• 3 and 5

• 0 and 6

What is the intercept form of the equation y = (x + 4)(x + 2)?

• y = x^2 + 6x + 8

• y = x^2 - 6x + 8

• y = x^2 + 8x + 6

• y = x^2 - 8x + 6

What is the intercept form of the equation y = (x + 4)(x + 2)?

• y = x^2 - 8x + 6

• y = x^2 - 6x + 8

• y = x^2 + 6x + 8

• y = x^2 + 8x + 6

How do you find the x-intercepts from the equation y = (x + 4)(x + 2)?

• Set y to 1

• Add the factors

• Set each factor to zero

• Multiply the factors

What are the x-intercepts of the equation y = (x + 4)(x + 2)?

• (-4, 0) and (2, 0)

• (4, 0) and (2, 0)

• (-4, 0) and (-2, 0)

• (4, 0) and (-2, 0)

What is the first step in factoring a quadratic equation with a leading coefficient?

• Divide by the leading coefficient

• Factor out the greatest common factor

• Subtract the leading coefficient from the constant

• Add the leading coefficient to the constant

What are the intercepts of the equation y = 2(x - 5)(x + 2)?

• (-5, 0) and (-2, 0)

• (5, 0) and (2, 0)

• (-5, 0) and (2, 0)

• (5, 0) and (-2, 0)