Multiplying Polynomials: Videos & Practice Problems

Which of the following expressions is a binomial?

Select the best description for the expression $4x^2+0x+9$.

Use the distributive property to multiply $3x(2x^2-x+4)$.

Multiply and simplify using FOIL: $(x+5)(x-2)$

Multiply and simplify $(x^2+x-2)(x+3)$. Use distribution by splitting the shorter polynomial.

Compute $(x+2)(x^2-x+5)$ by splitting the binomial and distributing each term into the trinomial.

Simplify the product $x^3{y}^2\cdot x^4{y}^3$ using exponent laws.

Compute and simplify: $3x^2\cdot 5x^3$

Expand and simplify fully: (x + 2)(x + 3)(x + 4). Show the final cubic polynomial.

Multiply and simplify: (2x² + 3x - 1)(x² - x + 2). Provide the simplified quartic polynomial.

If you multiply a binomial by a trinomial, how many terms should appear before combining like terms?

A student multiplies $(x+2)(x^2+3x+4)$. Find the correct expanded form of the product.

A student multiplies $x^3(x^2+x)$ and writes $x^5+x^4$. Is this correct? If not, what is the correct expansion and what error did they make?

Compute (x + 1)(x² - x + 3) and then add (2x² - x - 4). What simplified polynomial results?

A rectangle has side lengths $3x+2$ and $x+5$. Find the area as a simplified polynomial expression.

True or False: $x^4\cdot x^{-2}=x^2$

Compute $-x^2{y}^3\cdot 3x^{-1}{y}^2$.

Multiply and simplify $(x^2+2x+1)(x+1)$.

Which choice correctly classifies the expression $7-2x+x^2-x^3$?

A student writes (x² + x)(x + 3) and expands it as x³ + 3x² + x² + 3x, then cancels x² terms to get x³ + 3x. Which error did the student make?

Multiply and fully simplify: $(x+2)(2x^2-x+3)$