Answered

Explore Westonci.ca, the top Q&A platform where your questions are answered by professionals and enthusiasts alike. Ask your questions and receive precise answers from experienced professionals across different disciplines. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

When you multiply the following binomials, what is the linear term (the term with x)?

(X+3) (X-5)

Sagot :

absor201

Answer:

We conclude that 2x is the linear term with x.

Step-by-step explanation:

Given the expression

[tex]\left(x+3\right)\left(x-5\right)[/tex]

Multiplying the binomials

Apply FOIL method:

[tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]

[tex]\left(x+3\right)\left(x-5\right)=xx+x\left(-5\right)+3x+3\left(-5\right)[/tex]

Apply +(-) = - rule

                      [tex]=xx-5x+3x-3\cdot \:5[/tex]

simplify

                      [tex]=x^2-2x-15[/tex]

Here, 2x is the linear term with x.

It is called a linear term because the exponent of the variable is raised to the power of 1.

In other words, the degree of the linear term is 1.

Therefore, we conclude that 2x is the linear term with x.

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.