Question

Choose a term from the Key Vocabulary list above that best describes the given expression.

$\left(x+2\right)\left(x-5\right)=x^2-3x-10$

Short answer

The given expression can be best described as theFOIL method.

Step-by-step solution

Step 1. Define an expression.

A mathematical expression is a combinations of numbers and variables ordered with mathematical operations.

Step 2. Define FOIL method.

FOIL method is used to multiply two binomials.

$\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd$

Step 3. Write the best description for the expression, x+2x−5=x2−3x−10.

Observe the expression, $\left(x+2\right)\left(x-5\right)=x^2-3x-10$.

role="math" localid="1647723952175" $$\begin{gathered} \left(x+2\right)\left(x-5\right)=\left(x\right)\left(x\right)+\left(x\right)\left(-5\right)+\left(2\right)\left(x\right)+\left(2\right)\left(-5\right) \\ =x^2-5x+2x-10 \\ =x^2-3x-10 \end{gathered}$$

The expression,$\left(x+2\right)\left(x-5\right)=x^2-3x-10$ involves the product of two binomials$\left(x+2\right)$ and$\left(x-5\right)$ by using the FOIL method.

Therefore the given expression can be best described as the FOIL method.