Question

Factor the expression: 2x2 + 5x + 3

Answer 1

@AJ01

Answer 2

@chosenmatt

Answer 3

which number you think it is -2 or -1

Answer 4

-1

Answer 5

yup good job

Answer 6

what do i do now then @chosenmatt

Answer 7

x=-1 what you just said so plug it in

Answer 8

2*-1*2+5*-1+3

Answer 9

@chosenmatt

Answer 10

@mathmath333

Answer 11

first u have to find the factors of

\(\Large ax^2+bx+c\)

\(\Large a \) and \(\Large c \) here


\(\Large 2x^2+5x+3\\
\)


\(\Large 2\times 3=6\)

therefore \(\Large 6\) has factors \(\Large 2\) and \(\Large 3\)


also \(\Large 2\) and \(\Large 3\) add to \(\Large 5\) which is the

\(\Large b\) term
hence u can write \(\Large b\) term which is \(\Large 5\) as

\(\Large 2+3\)

therefore

\(\Large 2x^2+5x+3\\
=\Large 2x^2+2x+3x+3\\
=\Large 2x(x+1)+3(x+1)\\
=\huge (x+1)(2x+3)\\\)