Use synthetic division to solve (x4- 1) = (x - 1). what is the quotient?
x3 -x2+x-1
o x3
x+x2+x+1
x3-2

The quotient is x³+x²+x+1

Step-by-step explanation:

=(x^4-1) ÷ (x-1)

=(x^4-1)/ (x-1)

Solve the numerator by using perfect square formula:

⇒x^4-1 = (x²-1)(x²+1)

=(x²-1)(x²+1)/(x-1)

Further solve the numerator by using perfect square formula:

=(x+1)(x-1)(x²+1)/(x-1)

Cancel the like terms of numerator and denominator

We get;

=(x+1)(x²+1)

Multiply the terms:

=x³+x+x²+1

Re-arrange the terms:

=x³+x²+x+1

Hence the quotient is x³+x²+x+1

  answer:

  write 548 as 500 + 40 + 8. multiply each addend by 5. then add the three products to get 2,740.

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