Expand (x-2)(x+5): Converting to Standard Quadratic Form

Find the standard representation of the following function

f(x)=(x−2)(x+5) f(x)=(x-2)(x+5)

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simplified to the standard representation of the function
00:03 Open parentheses properly, multiply each factor by each factor
00:18 Collect terms
00:22 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Find the standard representation of the following function

f(x)=(x−2)(x+5) f(x)=(x-2)(x+5)

2

Step-by-step solution

We will begin by using the distributive property in order to expand the following expression.

(a+1)⋆(b+2) = ab+2a+b+2

We will then proceed to insert the known values into the equation and solve as follows:

(x-2)(x+5) =

x²-2x+5x+-2*5=

x²+3x-10

And that's the solution!

3

Final Answer

f(x)+x2+3x−10 f(x)+x^2+3x-10

Practice Quiz

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Create an algebraic expression based on the following parameters:

\( a=2,b=2,c=2 \)

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