Which of the binomials below is a factor of this trinomial?


x2 - 13x + 30


A. x + 5


B. x + 6


C. x - 10


D. x2 + 5

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STEP-BY-STEP SOLUTION:

= x^2 - 13x + 30

= x^2 - 10x - 3x + 30

= x ( x - 10 ) - 3 ( x - 10 )

= ( x - 10 ) ( x - 3 )

FINAL ANSWER:

Therefore, the answer is:

C. x - 10

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The correct answer is Option (C) x-10

What is Binomial Equation?

  • The expression having two terms is known as binomial equation.

What is trinomial equation?

  • The equation having three terms is known as trinomial equation.

How to Solve this question?

The equation is solved by following steps

The equation given is x2 - 13x + 30

We need to find the binomial factor of this trinomial equation

So, we will find the factor by splitting the middle term

[tex]x^{2} -13x+30\\=x^{2} -10x-3x+30\\=x(x-10)-3(x-10)\\=(x-10)(x-3)[/tex]

Hence the Binomial factor from the option is x-10

Therefore Option (c)  is correct

Learn more about binomial here

https://brainly.com/question/13672615

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