Answer :
We have,
f(x) = 3x3+x2-20x+12 and g(x) = 3x-2
In order to find whether g (x) is = 3x – 2 is a factor of f (x) or not, it is sufficient to show that f (
) = 0
Now,
f(x) = 3x3+x2-20x+12
f (
) = 3 (
)3 + (
)2 – 20 (
) + 12
= 
- 
+ 12
= 
= 0
Hence, g (x) is a factor of f (x).
Rate this question :
How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Polynomials- Introduction45 mins
Genius Quiz | Division of Algebraic Expressions37 mins
Champ Quiz | Polynomials29 mins
Smart Revision | Polynomials Identities39 mins
Quiz | Division of Polynomials38 mins
Basic understanding of Polynomials37 mins
NCERT | Various Methods of Factorization39 mins
Factors & Remainder Theorem40 mins
NCERT | Master Polynomials51 mins
Quiz | Imp. Qs. on Algebraic Identities65 mins
Polynomials- Introduction45 minsGenius Quiz | Division of Algebraic Expressions37 minsChamp Quiz | Polynomials29 minsSmart Revision | Polynomials Identities39 minsQuiz | Division of Polynomials38 minsBasic understanding of Polynomials37 minsNCERT | Various Methods of Factorization39 minsFactors & Remainder Theorem40 minsNCERT | Master Polynomials51 minsQuiz | Imp. Qs. on Algebraic Identities65 minsTry our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
RELATED QUESTIONS :
Factorize:
</p
Find the va
RS Aggarwal & V Aggarwal - MathematicsFactorize:
</p
Factorize:
</p
Factorize:
</p
If <span lang="EN
NCERT Mathematics ExemplarShow that p – 1 i
NCERT Mathematics ExemplarFactorize:
</p
Find the value of
NCERT Mathematics Exemplar