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Iv) f(x) = 3x² + x² - 20x +12.3x3 + x² - 20x +12. g(x)= 3x-2 |
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Answer» Answer: ANSWER Given f(x)=3x 3 +x 2 −20x+12 the G(x)=3x−2 is the FACTOR If g(x)=3x−2 is factor then g(x)=3x−2=0 or x= 3 2
Replace x by 3 2
in f(x) we get f(x)=3x 3 +x 2 −20x+12 f( 3 2
)=3( 3 2
) 3 +( 3 2
) 2 −20( 3 2
)+12 ⇒f( 3 2
)=3× 27 8
+ 9 4
−20× 3 2
+12 f( 3 2
)= 9 8
+ 9 4
− 3 40
+12 f( 3 2
)= 9 8+4−120+108
= 9 120−120
=0 So f(x)is ZERO by g(x) then g(x) =3x-2 is factor of f(x)=3x 3 +x 2 −20x+12 |
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