Question 24 on the MAT0020/24C Beginning Algebra State Exam

Solving Quadratic Equations by Factoring

(Leading Coefficient is ONE, a=1)

 

 

24.  Solve:                                                                              

 

A.         B.           C.        D. 

 

 

Solution: 

 

Solve:             

 

The first step is to factor the level side of the equation.

 

 

The next step is to set each factor equal to 0.

 

 

The next step is to solve each equation.

 

 

The solutions are: 

 

Note:  The solutions can be checked by substituting them back into the original equation.

 

 

Practice Problems for Question 24

Solving Quadratic Equations by Factoring

(Leading Coefficient is ONE, a=1)

Solutions Below

 

1.  Solve:                                                                                

                         

a.             b.         c.        d. 

 

 

 

 

 

2.  Solve:                                                                              

                         

a.           b.       c.           d. 

 

 

 

 

 

3.  Solve:                                                                              

                         

a.          b.            c.        d. 

 

 

 

 

 

4.  Solve:                                                                            

                         

a.           b.                        c.                      d. 

 

 

 

 

 

 

 

Solutions:

1.  c                 2.  c                                  3.  a                         4.  c