Q. 2 B4.7( 3 Votes )

# By using Factor Theorem, let us write whether g(x) is a factor of the following polynomials f(x).f(x) = 2x3 + 9x2 – 11x – 30 and g(x) = x + 5

Formula used.

If f(x) is a polynomial with degree n

Then (x – a) is a factor of f(x) if f(a) = 0

1st we find out zero of polynomial g(x)

x + 5 = 0

x = – 5

if f(x) is 2x3 + 9x2 – 11x – 30

then putting x = – 5 ;

f( – 5) = 2( – 5)3 + 9( – 5)2 – 11( – 5) – 30

= 2 × ( – 125) + 9 × (25) – 11x( – 5) – 30

= – 250 + 225 + 55 – 30

= 0

Conclusion.

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
Polynomial Identities31 mins
Zeros and Degrees of a Polynomial41 mins
Polynomial Identities in a Different Way43 mins
Methods to find zeroes of a polynomial 139 mins
Methods to find zeroes of a Polynomial-246 mins
How to avoid Polynomial Long Division when finding factors.40 mins
Concept of Zero & Degree of a Polynomial.54 mins
Champ Quiz | Geometrical Meaning of the Zeroes of a Polynomial38 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses