Question

Factor completely:

$40r^2+810$.

Short answer

The factored polynomial is,

$10(4r^2+81)$.

Step-by-step solution

Step 1. Given the information.

The polynomial function is,

$40r^2+810$.

Step 2. Factoring the polynomial.

$40r^2+810$

Taking out the common factor,

$=10(4r^2+81)$.

Step 3. Checking the solution

$10(4r^2+81)$

Multiplying the brackets,

role="math" localid="1644784093371" $$\begin{gathered} =10\times 4r^2+10\times 81 \\ =40r^2+810 \end{gathered}$$

This is true.