Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor the expression completely.

3x^(2)+5x
Answer:

Factor the expression completely.\newline3x2+5x 3 x^{2}+5 x \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline3x2+5x 3 x^{2}+5 x \newlineAnswer:
  1. Identify GCF: Identify the greatest common factor (GCF) of the terms in the expression 3x2+5x3x^2 + 5x. The GCF of 3x23x^2 and 5x5x is xx, because xx is the highest power of xx that divides evenly into both terms.
  2. Factor out GCF: Factor out the GCF from the expression.\newlineWe can write 3x2+5x3x^2 + 5x as x(3x+5)x(3x + 5).
  3. Check for further factorization: Check to see if the expression inside the parentheses can be factored further.\newlineThe expression 3x+53x + 5 does not have a common factor other than 11, and it is not a special product such as a difference of squares or a perfect square trinomial. Therefore, it cannot be factored further.
  4. Write final factored form: Write down the final factored form of the expression.\newlineThe completely factored form of the expression 3x2+5x3x^2 + 5x is x(3x+5)x(3x + 5).

More problems from Evaluate numerical expressions involving exponents

QuestionGet tutor helpright-arrow

Posted 7 months ago

QuestionGet tutor helpright-arrow

Posted 9 months ago