∑ Old Books, New Math

Chapter 10 · Division

Chapter challenge

Ten problems drawn from every lesson in the chapter. Get each one right on your first try for a perfect score. A new set is drawn each time.

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From Dividing a Polynomial by a Monomial, exercise 1

Divide each term by the monomial.

1

\dfrac{6x^2-4x}{2x}

From Long Division of Polynomials, exercise 18

Divide. Give the quotient and the remainder (0 if it divides exactly).

2

Divide 4a^3+1+a^4+4a+6a^2 by 1+a^2+2a.

From Dividing a Polynomial by a Monomial, exercise 19

Divide each term by the monomial.

3

\dfrac{16(3x-4)^4-24(3x-4)^5-48(3x-4)^7}{-8(3x-4)^4}

From Long Division of Polynomials, exercise 5

Divide. Give the quotient and the remainder (0 if it divides exactly).

4

Divide 6x^2-13x+6 by 2x-3.

From Dividing Monomials, exercise 19

Simplify each quotient.

5

\dfrac{x^{a}}{x^2}

From Dividing Monomials, exercise 27

Simplify each quotient.

6

\dfrac{3a^3x^{3a}}{a^2x^{a}}

From Long Division of Polynomials, exercise 41

Divide. Give the quotient and the remainder (0 if it divides exactly).

7

Divide x^{2a}-5x^{a}+6 by x^{a}-3.

From Long Division of Polynomials, exercise 34

Divide. Give the quotient and the remainder (0 if it divides exactly).

8

Divide x^4+y^4 by x+y.

From Long Division of Polynomials, exercise 24

Divide. Give the quotient and the remainder (0 if it divides exactly).

9

Divide 16x^4-60x^2y^2+25y^4 by 4x^2-10xy-5y^2.

From Dividing Monomials, exercise 22

Simplify each quotient.

10

\dfrac{39x^13y^26z^39}{-13x^13y^13z^13}