Question

use the factor theorem to determine whether g (x) is factor of f (x) in each of the following cases : f(x) = 3x cube + X square - 20x​

Answer 1

Answer:

Given f(x)=4x

3

+20x

2

+33x+18 the g(x)=2x+3 is factor

If 2x+3 is factor then 2x+3=0 or x=−

2

3

Then replace x by −

2

3

, we get

f(x)=4x

3

+20x

2

+33x+18

f(−

2

3

)=4(−

2

3

)

3

+20(−

2

3

)

2

+33(−

2

3

)

f(−

2

3

)=−4×

8

27

+20×

4

9

−

2

99

+18

p(−

2

3

)=−

4

−54

+

4

180

−

2

99

+18

p(−

2

3

)=

4

−54+180−198+72

=0

So value of f(x) is zero from g(x)=2x+3

Therefore, g(x) is the factor of f(x)=4x

3

+20x

2

+33x+18

Answer 2

Answer:

please give the correct value of g(x).