Factor completely. \(\displaystyle{3}{x}^{{{2}}}+{42}{x}+{39}\)

Ashleigh Shaffer

Ashleigh Shaffer

Answered question

2022-04-02

Factor completely.
3x2+42x+39

Answer & Explanation

Brendon Stein

Brendon Stein

Beginner2022-04-03Added 5 answers

Step 1
Given: A quadratic equation 3x2+42x+39
Firstly factor out 3 from the equation 3x2+42x+39
3x2+42x+39=3(x2+14x+13)
=3(x2+x+13x+13)
=3(x(x+1)+13(x+1))
=3(x+1)(x+13)
Step 2
Hence by factoring out 3x2+42+39 completely, the equation becomes 3(x+1)(x+13)
Yaritza Phillips

Yaritza Phillips

Beginner2022-04-04Added 12 answers

Step 1
Let us factor the given polynomial by grouping:
=3x2+21x+21x+39 We rewrote 42x as 21x+21x.
(3x2+21x)+(21x+39) We grouped terms.
=3(x2+x+13x+13) We factored out 3.
=3(x+1)(x+13)
Step 2
Factored expression is 3(x+1)(x+13)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?