trinomials

[vital olive]

(see image attached)

I cant factorise 2 and 7x as that is not possible so im pretty confused

[lilac igloo]

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[vital olive]

any helpw ill be appreicate

[dapper mantle]

to do this, you look at the first and last terms

2 has factors of 2 and 1. 3 has factors of 3 and 1.

then you need to find a pair of factors that makes a sum of 7

(2x3) + (1x1) = 7

imagine it in a table of pairs like this

2 and 3 multiply by each other

adding to 1 and 1 multiplying by each other

making the middle term 7

then look diagonally

2 and 1, 1 and 3

--> (2x+1)(x+3)

did i make it too complicated?

[copper gate]

ya

just multiply the leading coefficient and constant term

and then look at its factors