Question

the item to the trashcan. Click the trashcan to clear all your answers.Factor completely, then place the factors in the proper location on the grid.10b2 +17b+ 321234567890CDI+1345167NEXT QUESTIONASK FOR HELP

Answer 1

`\mathbf{(5b+1)(2b+3)}`

1) Let's factor completely this 2nd-degree polynomial, rewriting that 17b as the sum of two terms.

`\begin{gathered} 10b^2+17b+3 \\ 10b^2+15b+2b+3 \end{gathered}`

2) Now, let's group those factors and rewrite that as a product, placing outside the parentheses the GCD. Grouping the terms whose coefficient share the same

`\begin{gathered} (10b^2+2b)+(15b+3) \\ 2b(5b+1)+3(5b+1) \\ \mathbf{(5b+1)(2b+3)} \end{gathered}`

Thus this is the answer (in bold).