Polynomial Division

Front

What is the answer after we divide one expression by another expression?

Back

Quotient

Front

Is (x-2) a factor of f(x)= x^3-8x^2+14x-4?

Back

Yes, (x-2) is a factor. The remainder is zero.

Front

What is the original division problem for 3x^3-2x^2-150?

Back

3x^3-2x^2-150 ÷ x-4

Front

Which term must be inserted in the dividend before you begin long division for (2x^3+5x^2+9) ÷ (x+3)?

Back

0x

Front

If you use synthetic division, what number is placed 'outside the box' for (2x^3+5x^2+9) ÷ (x+3)?

Back

-3

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division that is used when dividing by a linear factor.

Front

What is the dividend in a division problem?

Back

The dividend is the expression that is being divided.

Front

What is the divisor in a division problem?

Back

The divisor is the expression by which the dividend is divided.

Front

What does it mean if the remainder is zero in polynomial division?

Back

If the remainder is zero, it means that the divisor is a factor of the dividend.