Question

find the value of the polynomial x³+3x²+3x+1 at x= -1​

Answer 1

Answer:

-1cube +3×(-1)^2+3×(-1)+1

-1+3-3+1

4-4=0

x+1 is the first factor

the divide x cube +3x square +3x+1 by

(x+1)

answer is

${x}^{2} \ + 2x + 1$

the factorise it

${x }^{2} + 2x + 1 \\ \\ {x}^{2} + (x + x) + 1 \\ \\ {x}^{2} + x + x + 1 \\ \\ x(x + 1) + 1(x + 1) \\ \\ (x + 1)(x + 1)(x + 1)$

(x+1)(x+1)(x+1) is the factor of the polynomial