Polynomial Long Division

Front

What is Polynomial Long Division?

Back

A method used to divide a polynomial by another polynomial of the same or lower degree, similar to long division with numbers.

Front

What is the first step in Polynomial Long Division?

Back

Divide the leading term of the dividend by the leading term of the divisor.

Front

What do you do after dividing the leading terms in Polynomial Long Division?

Back

Multiply the entire divisor by the result from the first step and subtract it from the dividend.

Front

What is the purpose of subtracting in Polynomial Long Division?

Back

To eliminate the leading term of the dividend and simplify the polynomial for further division.

Front

What do you do if the degree of the remainder is less than the degree of the divisor?

Back

You stop the division process; the remainder is the final answer.

Front

What is the result of (x^2 + 5x + 6) ÷ (x + 2)?

Back

x + 3 with a remainder of 0.

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What is the result of (2x^3 + 3x^2 - 2) ÷ (x + 1)?

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2x^2 + x - 3 with a remainder of 1.

Front

What is the next step after subtracting in Polynomial Long Division?

Back

Bring down the next term from the dividend.

Front

What does it mean to 'bring down' a term in Polynomial Long Division?

Back

To take the next term from the dividend and add it to the remainder to continue the division process.

Front

What is the result of (3x^3 + 2x^2 - x - 5) ÷ (x - 1)?

Back

3x^2 + 5x + 4 with a remainder of -1.