Question

Divide. Write the quotient and the remainder.

(21x⁴ − 14x² + 7x) ÷ 7x³

Answer 1

(21x⁴ − 14x² + 7x) ÷ 7x³

= `(21 x^4 - 14 x^2 + 7x)/(7 x^3)`

= `(7 x^3 xx 3x - 14 x^2 + 7 x)/(7 x^3)`

= `(7 x^3 xx 3x)/(7 x^3) + (-14 x^2 + 7 x)/(7 x^3)`

= `3 x + (-14 x^2 + 7 x)/(7 x^3)`

So, quotient = 3x and remainder = −14x² + 7x