Factor x3 + x2 + x + 1 by grouping. what is the resulting expression?

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 413 People

Answered by maham237 @ 22/12/2020

Consider the polynomial $x^3 + x^2 + x + 1 .$ You can group first two terms and second two terms in following way:

$x^3 + x^2 + x + 1 =(x^3 + x^2) + (x + 1).$

In first brackets terms $x^3$ and $x^2$ have common factor $x^2$ , then

$x^3 + x^2 + x + 1 =(x^3 + x^2) + (x + 1)=x^2(x+1)+(x+1)=(x+1)(x^2+1).$

Answer: $(x+1)(x^2+1).$

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Asked by maham237 @ 22/12/2020 in Mathematics viewed by 412 persons

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Asked by maham237 @ 22/12/2020 in Mathematics viewed by 337 persons

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