Question

describe which of the following polynomial has (X + OK I Am leaving branly allowed ​

Answer 1

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>Remainder Theorem

>Determine which of the foll...

Maths

Determine which of the following polynomials has (x+1) a factor:

(i) x3+x2+x+1

(ii) x4+x3+x2+x+1

(iii) x4+3x3+3x2+x+1

(iv) x3−x2−(2+2)x+2

Apply remainder theorem 

x+1=0

x=−1

Put the value of x=−1 in all equations. 

(i) x3+x2+x+1=(−1)3+(−1)2+(−1)+1=−1+1−1+1=0

Then x+1 is the factor of equation

(ii) x4+x