Multiplying and Dividing Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 3x^2 + 2x - 5 is a polynomial.

Front

Classify the polynomial 7x^3 - 8x^2 + 9 by number of terms.

Back

Trinomial (it has three terms).

Front

Classify the polynomial 7x^3 - 8x^2 - 4x + 9 by degree.

Back

Cubic (the highest degree is 3).

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 5x^2 or -3.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as x + 5 or 3a - 4b.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 3x + 2.

Front

What is a quartic polynomial?

Back

A quartic polynomial is a polynomial of degree four, such as 2x^4 - 3x^3 + x - 5.

Front

Multiply the binomials: (x - 9)(x - 7)

Back

x^2 - 16x + 63.

Front

What is the degree of the polynomial 3x^2 - 11x + 9?

Back

The degree is 2 (quadratic).

Front

Multiply: 3a(5a^2 + 8a + 2)

Back

15a^3 + 24a^2 + 6a.