Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Factor the expression completely.

7x+6x^(2)
Answer:

Factor the expression completely.\newline7x+6x2 7 x+6 x^{2} \newlineAnswer:

Full solution

Q. Factor the expression completely.\newline7x+6x2 7 x+6 x^{2} \newlineAnswer:
  1. Identify Factors: Identify common factors in the terms of the expression. The expression is 7x+6x27x + 6x^2. Both terms have an xx in common. Additionally, we can look for numerical factors that are common to both coefficients, 77 and 66. There are no common numerical factors other than 11.
  2. Factor Out Common Variable: Factor out the common variable factor. Since both terms have an xx, we can factor xx out of the expression. This gives us x(7+6x)x(7 + 6x).
  3. Check Further Factorization: Check if the expression inside the parentheses can be factored further. The expression inside the parentheses is 7+6x7 + 6x, which cannot be factored further since 77 and 66 have no common factors and the terms are not part of a special product or sum.
  4. Write Completely Factored Expression: Write down the completely factored expression. The expression 7x+6x27x + 6x^2 is completely factored as x(7+6x)x(7 + 6x).

More problems from Evaluate numerical expressions involving integers

QuestionGet tutor helpright-arrow

Posted 8 months ago

QuestionGet tutor helpright-arrow

Posted 8 months ago