Q. 1 F4.5( 2 Votes )

# Let us calculate and write, which of the following polynomials will have a factor (x + 1)?x3 + x2 + x + 1

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 x + 1

x + 1 = 0

x = – 1

if f(x) is x3 + x2 + x + 1

then putting x = – 1;

f( – 1) = ( – 1)3 + ( – 1)2 + ( – 1) + 1

= – 1 + 1 – 1 + 1

= 0

Conclusion.

(x + 1) is a factor of x3 + x2 + x + 1

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