Chapter 2 : HCF and LCM

Example 5. Determine the value of m such that (x - 5) is a factor of the polynomial

f(x) = 3x3 - 16x2 + mx + 50

Solution: f(x) = 3x3 - 16x2 + mx + 50

(x - 5) is a factor of f(x)

Or, 3(5)3 - 16(5)2 + m(5) + 50 = 0

Or, 375 - 400 + 5m + 50 = 0

Or, 5m + 25 = 0

m = -5

 

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Subjects Maths (Part-1) by Mr. M. P. Keshari
Chapter 1 Linear Equations in Two Variables
Chapter 2 HCF and LCM
Chapter 3 Rational Expression
Chapter 4 Quadratic Equations
Chapter 5 Arithmetic Progressions
Chapter 6 Instalments
Chapter 7 Income Tax
Chapter 8 Similar Triangles