using factor theorem,show that(g)is a factor of p(x),when
Attachments:
Answers
Answered by
2
p (x)= 3x^3 + x^2 -20x +12
g (x)= 3x -2
0 = 3x -2
x = 2/3
using factor theorem if g (2/3) is the factor of p (2/3) then p(2/3)= 0
p (2/3)= 3(2/3)^3 + (2/3)^2 - 20(2/3) + 12
0 = 3(8/27) + 4/9 - 40/3 + 12
= 8/9 + 4/9 - 120/9 + 108/9 [rationalising the denominator]
=120/9 - 120/9
= 0/9
= 0
ans. since p (2/3) = 0, therefore g (2/3) is the factor of p ( x)
sumitkumar1107:
what is the meaning of symbol ^
^ this symbol means' raise to '
example : 3 raise to 4 or 3^4
in this example ---- 4 is the exponent or you can say that it is the power of 3
here 3^4 = 3×3×3×3
do you understand the meaning ??
Similar questions