Use the method of equating coefficients to find the values of a, b, and c: (x+4)(ax2+bx+c)=2x3+9x2+3x−4

Step-by-step explanation:

Given

Required

Open Bracket

Collect like terms

By comparing coefficients; we have

Remove all traces of x from both sides

From the first equation;

From the last equation

Divide both sides by 4

Substitute -1 for c in the third equation

Add 1 to both sides

Divide both sides by 4

Substitute 2 for a in the second equation [To confirm the value of b]

Subtract 8 from both sides

Hence;

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2