Mastering Quadratic Equations through Factoring

What is the first step in factoring a polynomial?

• Find the greatest common factor

• Write the polynomial in standard form

• Set the equation to zero

• Identify the x-intercepts

Which pair of factors of 15 sums up to 8?

• 4 and 11

• 2 and 7

• 3 and 5

• 1 and 15

How do you set a quadratic equation in standard form?

• a + bx + cx^2 = 0

• ax^2 - bx - c = 0

• ax + bx^2 + c = 0

• ax^2 + bx + c = 0

What property is used to solve factored equations?

• Zero product property

• Commutative property

• Associative property

• Distributive property

What are the solutions for x in the equation x + 3 = 0 and x - 5 = 0?

• 3 and -5

• -3 and 5

• -3 and -5

• 3 and 5

What is the greatest common factor (GCF) of 2x^2 and -15x?

• 5x

• 3x

• x

• 2x

What does solving a factored equation help to find in a quadratic function?

• The vertex

• The maximum value

• The y-intercept

• The x-intercepts

What is the solution set for the equation 2x^2 - 15x = 0?

• -15 and 2

• 15 and -2

• 0 and -7.5

• 0 and 7.5

Which factors of -36 sum up to -5?

• -9 and 4

• -6 and 6

• -12 and 3

• -8 and 4

Why is it important to practice factoring and solving quadratic equations?

• To improve graphing skills

• To memorize formulas

• To understand the structure of equations

• To find the solutions or roots of the equations