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Using the Remainder Theorem, Factorise Each of the Following Completely X3 + X2 – 4x – 4 - Mathematics

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Question

Using the Remainder Theorem, factorise each of the following completely

x3 + x2 – 4x – 4

Solution

f(x)=x^3+x^2-4x-4

for  x=1,

f(x)=f(-1)=(-1)^3+(-1)^2-4(-1)-4

=-1+1+4-4=0

"Hence, (x+1) is a factor of f (x)"

∴ x^3+x^2-4x-4=(x+1)(x^2-4)

= (x+1) (x+2) (x-2)

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APPEARS IN

Selina Solution for Concise Mathematics for Class 10 ICSE (2020 (Latest))
Chapter 8: Remainder and Factor Theorems
Exercise 8(B) | Q: 2.5 | Page no. 112