$2{x}^{2}-11x+5$

Choose Topic

Examples

Split the second term in

2{x}^{2}-11x+5

into two terms.

Multiply the coefficient of the first term by the constant term.

2\times 5=10

Ask: Which two numbers add up to

-11

and multiply to

10

-1

and

-10

Split

-11x

as the sum of

-x

and

-10x

2{x}^{2}-x-10x+5

To get access to all 'How?' and 'Why?' steps, join Cymath Plus!

2{x}^{2}-x-10x+5

Factor out common terms in the first two terms, then in the last two terms.

x(2x-1)-5(2x-1)

Factor out the common term

2x-1

(2x-1)(x-5)

Done

Like this solution? Share it!

2x2−11x+52{x}^{2}-11x+52x2−11x+5