1. Convert from factored form to standard form: For the foll that represents the area. Draw the area diagram if needed.
a. $A(x)=(x+5)(x+2)$
Answer
Final Answer: The standard form of the given factored form \((x+5)(x+2)\) is \(\boxed{x^2 + 7x + 10}\).
Step 1 ：Given the factored form of the quadratic equation is \((x+5)(x+2)\).
Step 2 ：To convert this into standard form, we need to expand the brackets by multiplying the terms together.
Step 3 ：First, multiply \(x\) by \(x\) and \(5\) to get \(x^2\) and \(5x\).
Step 4 ：Next, multiply \(2\) by \(x\) and \(5\) to get \(2x\) and \(10\).
Step 5 ：Add these terms together to get the standard form: \(x^2 + 7x + 10\).
Step 6 ：Final Answer: The standard form of the given factored form \((x+5)(x+2)\) is \(\boxed{x^2 + 7x + 10}\).
