Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Get precise and detailed answers to your questions from a knowledgeable 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.

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.