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Mathematics 10 Online
OpenStudy (anonymous):

x2+8x+15

OpenStudy (mathstudent55):

Do you need to factor this polynomial?

OpenStudy (anonymous):

Are trying to Simplify, Factor, or Evaluate?

OpenStudy (anonymous):

Simplify: Let's simplify step-by-step. x2+8x+15 There are no like terms. Answer: =x2+8x+15

OpenStudy (mathstudent55):

There are no like terms, so there is nothing you can do to simplify. It is possible to factor it, though.

OpenStudy (anonymous):

Factor: Factor x^2+8x+15 x^2+8x+15 =(x+3)(x+5) Answer: (x+3)(x+5)

OpenStudy (anonymous):

And to evaluate we need to know what x=

OpenStudy (mathstudent55):

You have a trinomial of the form: \(x^2 + ax + b\) To factor it, you need to find two numbers that add up to \(a\) and multiply to \(b\). Let's say the numbers are \(p\) and \(q\). Then the factoring is \((x + p)(x + q)\)

OpenStudy (mathstudent55):

In your specific case, you need two numbers that add up to 8 and multiply to 15. They are 3 and 5, so the factoring is: (x + 3)(x + 5)

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