Question

use the factor theorem to determine whether g(x) is factor of f(x) in each of the following cases:

plz yrr answer this fast it's very urgent plz​

Answer 1

Step-by-step explanation:

1) if g(x) = x+1

then x= -1

put the value of x

=5(-1)³+(-1)²-5(-1)-1

= -5+1+5-1

=0

2) if g(x) = x+1

then x= -1

put the value of x

=(-1)³+3(-1)²+3(-1)+1

= -1+3-3+1

=0

3) if g(x) = x-2

then x= 2

put the value of x

=(2)³-4(2)²+(2)+6

=8-16+2+6

=16-16

=0

4) if g(x) = 3x-2

then x = 2/3

put the value of x

=3(2/3)³+(2/3)²-20(2/3)+12

=3(8/27)+4/9-40/3+12

=8+4-120+108

2

= -120+120

9

= 0/9

=0

5) if g(x) = 2x+3

then x= -3/2

put the value of x

=4(-3/2)³+20(-3/2)²+33(-3/2)+18

=4(-27/8)+20(9/4)-99/2+18

= -27/2+45-99/2+18

= -27+90-99+36

2

= -126+126

2

= 0/2

=0