Q. 4 B4.7( 3 Votes )

Let us calculate the value of k for which g(x) will be a factor of the following polynomials f(x).

f(x) = kx2 – 3x + k and g(x) = x – 1

Answer :

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 – 1 = 0


x = 1


if x – 1 is factor of f(x) = kx2 – 3x + k


then f(1) = 0 ;


f(1) = k(1)2 – 3(1) + k = 0


= k – 3 + k


2k – 3 = 0


k =


Conclusion.


if (x – 1) is factor of f(x) then k = –


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Polynomial IdentitiesPolynomial IdentitiesPolynomial Identities31 mins
Zeros and Degrees of a PolynomialZeros and Degrees of a PolynomialZeros and Degrees of a Polynomial41 mins
Polynomial Identities in a Different WayPolynomial Identities in a Different WayPolynomial Identities in a Different Way43 mins
Methods to find zeroes of a polynomial 1Methods to find zeroes of a polynomial 1Methods to find zeroes of a polynomial 139 mins
Methods to find zeroes of a Polynomial-2Methods to find zeroes of a Polynomial-2Methods to find zeroes of a Polynomial-246 mins
How to avoid Polynomial Long Division when finding factors.How to avoid Polynomial Long Division when finding factors.How to avoid Polynomial Long Division when finding factors.40 mins
Concept of Zero & Degree of a Polynomial.Concept of Zero & Degree of a Polynomial.Concept of Zero & Degree of a Polynomial.54 mins
Champ Quiz | Geometrical Meaning of the Zeroes of a PolynomialChamp Quiz | Geometrical Meaning of the Zeroes of a PolynomialChamp 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
caricature
view all courses