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How do you factor #3x^2+30x+75#?

Answer 1

Nathan Axel

Given #3x^2+30x+75#

Step 1: Extract the obvious common constant factor #3(x^2+10x+25)#

Recognize the second term as a square #3(x+5)^2#

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Answer 2

Ethan Adkins

To factor the quadratic expression (3x^2 + 30x + 75), first factor out the greatest common factor, which is 3. Then, factor the quadratic trinomial:

(3x^2 + 30x + 75 = 3(x^2 + 10x + 25))

Now, factor the quadratic trinomial inside the parentheses:

(x^2 + 10x + 25 = (x + 5)(x + 5))

So, the factored form of (3x^2 + 30x + 75) is (3(x + 5)^2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.