Quiz on Dividing Polynomials

What is the general method used for dividing polynomials by binomials?

• Synthetic division

• Factorization

• Long division

• Short division

When dividing polynomials, what is the polynomial called that is being divided?

• Remainder

• Quotient

• Dividend

• Divisor

Which method is NOT mentioned for dividing polynomials by monomials?

• Factorization method

• Splitting the terms method

• Long division method

• Both splitting and factorization

In synthetic division, what do you use for the coefficients of missing terms?

• 1

• 0

• 2

• None

What is the result of dividing (4x^3 + 5x^2 + 5x + 8) by (4x + 1)?

• Remainder is 0

• Remainder is 5

• Remainder is 7

• Remainder is 3

What is the first step in the long division of polynomials?

• Multiply the divisor

• Subtract the dividend

• Add the coefficients

• Divide the first term

Which of the following is a polynomial expression?

• 5x^2 + 6x - 17

• 5/x + 6

• x^2 + 1/x

• sqrt(4x)

What is the quotient when dividing (x^4 - 10x^3 + 27x^2 - 46x + 28) by (x - 7)?

• x^3 + 3x^2 - 6x + 4

• x^3 - 3x^2 + 6x - 4

• x^3 + 2x^2 - 5x + 3

• x^3 - 2x^2 + 5x - 3

What is the easiest way to divide polynomials by a monomial?

• Splitting the terms

• Using long division

• Using synthetic division

• Using factorization

What is the degree of the polynomial x^2 + 3?

• 1

• 0

• 2

• 3