Polynomial Quotient Challenge

Perform the polynomial division: (4x^3 + 2x^2 - 5x + 3) ÷ (2x - 1).

• 3x^2 - 2x + 5

• 2x^2 - 3x + 4

• 5x^2 + 3x - 2

• 2x^2 + 2x + 1

Determine the quotient when (6x^2 - 3x + 2) is divided by (3x - 1).

• 3x - 2

• 2x + 1

• 4x + 3

• 5x - 1

What is the quotient of (8x^3 - 4x^2 + 6x - 2) ÷ (2x - 1)?

• 6x^2 - 3x + 3

• 4x^3 - 2x^2 + 3x - 1

• 4x^2 + 2x + 4

• 2x^2 + 3x - 1

Explain the process of performing polynomial division.

• Add the divisor to the dividend and multiply by the result

• Subtract the divisor from the dividend and divide by the result

• Multiply the highest degree term of the dividend by the highest degree term of the divisor

• Divide the highest degree term of the dividend by the highest degree term of the divisor, then multiply the divisor by the result and subtract from the dividend. Repeat until the degree of the remainder is less than the degree of the divisor.

Find the quotient

Mathematical Equivalence

ON

Explain the concept of a quotient in polynomial division.

• The quotient is the result of dividing one polynomial by another.

• The quotient is the remainder of dividing one polynomial by another.

• The quotient is the product of two polynomials.

• The quotient is the sum of two polynomials.

If a polynomial of degree 4 is divided by a polynomial of degree 2, what will be the degree of the quotient?

• 2

• 1

• 4

• 3

Solve the problem: If (3x^2 - 2x + 5) is divided by (x - 1), what is the quotient?

• 2x + 3

• 4x - 1

• 5x - 2

• 3x + 1

If the remainder is zero when we divide two polynomials we say...

• Hallelujah

• the division is exact

• the division is exactly

• the division is easy

Divide the polynomial by the monomial.

• 2x⁸-8x²-28x

• 2x⁸-2x²-7x

• 8x⁷-8x-28x

• 2x⁷ -2x -7