Factoring and Solving Quadratics

The video tutorial demonstrates how to solve a factoring problem when the equation is not in standard form. It begins by explaining the standard form of a trinomial and shows how to rearrange a given equation to match this form. The tutorial then covers factoring the trinomial using a shortcut method and solving for the variable X by setting each factor equal to zero.

What is the standard form of a trinomial?

• ax^2 + c = bx

• ax^2 + bx + c = 0

• ax + bx^2 + c = 0

• ax^2 + bx = c

How do you rearrange the equation x^2 + 56 = 15x into standard form?

• Add 15x to both sides

• Subtract 15x from both sides

• Multiply both sides by 15x

• Divide both sides by 15x

What is the next step after writing the equation in standard form as x^2 - 15x + 56?

• Solve for x

• Factor the trinomial

• Add 15x to both sides

• Multiply by 56

Which pair of numbers multiplies to 56 and adds to -15?

• -7 and -8

• 7 and 8

• 7 and -8

• -7 and 8

What is the factored form of the trinomial x^2 - 15x + 56?

• (x + 7)(x - 8)

• (x - 7)(x - 8)

• (x - 7)(x + 8)

• (x + 7)(x + 8)

How do you solve the equation (x - 7)(x - 8) = 0?

• Set x - 7 = 0 and x - 8 = 0

• Add 7 and 8 to both sides

• Multiply both sides by x

• Subtract 7 and 8 from both sides

What are the solutions for x in the equation (x - 7)(x - 8) = 0?

• x = 56 and x = 0

• x = 7 and x = 8

• x = -7 and x = -8

• x = 0 and x = 15