Question

Factor completely.

10x3 + 2x2 + 5x + 1

(2x2 + 1)(x + 1)

(2x2 + 1)(5x + 1)

(5x2 + 1)(x + 1)

(5x2 + 2)(5x + 1)

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM

Answer 1

\[10x^3 + 2x^2 + 5x + 1\]
Try to find 2 pairs of 2 terms which give something common.
\[2x^2(5x + 1) + 1(5x+1)\]
\[(5x+1)\] is common, use the reverse of the distributive property now. Group the together. Here's what i mean:
\[2x^2(5x + 1) + 1(5x+1)\]
\[(5x+1)(2x^2 + 1)\]

Getting this? :)

Answer 2

Not really its confusing

Answer 3

ab + ac

How do you factorize that?

Answer 4

@melani21 ?

Answer 5

i have no clue

Answer 6

@AkashdeepDeb
Factor completely.

20x3 + 12x2 + 5x + 3

(2x2 + 1)(5x + 3)

(2x2 + 3)(5x + 3)

(4x2 + 1)(x + 3)

(4x2 + 1)(5x + 3)

Answer 7

What does factorization actually mean?

It means I have to write everything in the form of products/multiples.

ab + ac

Is this in the form of products?
No. It is not. It is a sum.

How do we turn it into a product?

Well, I can take something common [see the 'a'?] and write it in that form.

ab + ac = a times (b+c) = a * (b+c)

Isn't that cool? We just wrote it as a product!

Can you try writing \[x^2 + 2x\] in the factorized form?