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Find the Value of ‘A’, If (X – A) is a Factor of X3 – Ax2 + X + 2. - Mathematics

Sum

Find the value of ‘a’, if (x – a) is a factor of x3 – ax2 + x + 2.

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Solution

left` f (x)=x^3-ax^2+x+2 `

it is given that (x-a) is a factor of f (x) 

Remainder=`f(a)=0 `

`a^3-a^3+a+2=0 `

`a+2=0 `

`a=-2`

Concept: Factor Theorem
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 8 Remainder and Factor Theorems
Exercise 8 (B) | Q 9 | Page 112
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