Learn how to solve a quadratic equation by factoring

The video tutorial covers the process of solving equations by factoring. It begins with an introduction to factoring and the importance of isolating the variable x. The zero product property is explained as a key rule for solving equations set to zero. Various factoring techniques are discussed, including using coefficients and identifying factors that add up to a specific number. The tutorial concludes with solving an equation by applying these methods, demonstrating how to find the values of x.

What is the main challenge when trying to isolate x in an equation with both squared and linear terms?

• The terms are both constants.

• The equation is already solved.

• They are not like terms and cannot be combined.

• They are like terms and can be combined.

What must be true about an equation to apply the zero product property?

• The equation must equal a positive number.

• The equation must have no variables.

• The equation must equal a negative number.

• The equation must equal zero.

What is the first step in the 'x' method of factoring?

• Add the coefficients of the terms.

• Multiply the coefficient of the first term by the last term.

• Subtract the middle term from the first term.

• Divide the last term by the first term.

Which pair of numbers multiplies to -21 and adds to -4 in the given example?

• Positive 3 and negative 7

• Negative 3 and positive 7

• Positive 7 and negative 3

• Negative 7 and positive 3

After factoring, what are the solutions for x in the equation?

• x = -7 and x = 3

• x = 3 and x = -7

• x = 7 and x = -3

• x = -3 and x = 7