Provide an appropriate response.A student is trying to solve the equation (x + 3)(x - 2) = 9. The student has set x + 3 = 9 and x - 2 = 9 and found that two solutions x = 6, x = 11. The student checks his or her results by plugging in his or her solutions into the original equation and finds that they do not work. How would you advise him or her?

What will be an ideal response?


The equation needs to be set to zero in order to use the zero-factor theorem.

Mathematics

You might also like to view...

Find the value of the variable that satisfies the equation.2x + 6 = 14

A. x = 4 B. x = 10 C. x = 6 D. x = 1

Mathematics

Simplify. -  ÷ 

A.
B.
C.
D.

Mathematics

Use the rational zeros theorem to completely factor the given polynomial P(x).P(x) = 5x4 + 9x3 - 11x2 - 27x - 12

A. (5x + 4)(x - 1)(x - )(x + )
B. (5x - 1)(x + 4)(x - )(x + )
C. (5x + 4)(x + 1)(x - )(x + )
D. (5x - 4)(x + 1)(x - )(x + )

Mathematics

Find the indicated term for the geometric sequence.8, -4, 2, -1, . . . ; 10th term

A. - 
B. - 
C.  
D.  

Mathematics