Question

What is the factorization of the trinomial below? 2x^2+15x+25

A. (2x+5)(x+5)
B.2(x+5)(x+5)
C.(x+5)(x+10)
D.(x+2)(x+5)

Answer 1

`\boxed{\bold{\left(2x+5\right)\left(x+5\right)}}`

Explanation:

Break Expression Into Groups

`\bold{\left(2x^2+5x\right)+\left(10x+25\right)}`

Factor Out
`\bold{x}` From
`\bold{2x^2+5x}`

`\bold{x\left(2x+5\right)}`

Factor Out
`\bold{5}` From
`\bold{10x+25}`

`\bold{5\left(2x+5\right)}`

Rewrite Equation

`\bold{x\left(2x+5\right)+5\left(2x+5\right)}`

Factor Out Common Term
`\bold{2x+5}`

`\bold{\left(2x+5\right)\left(x+5\right)}`

Answer 2

• (2x+5)(x+5)

Explanation:

`\sf 2x^2+15x+25`

`\sf \left(2x^2+5x\right)+\left(10x+25\right)`

`\sf 2x^2+5x=x\left(2x+5\right)`

`\sf \left(10x+25\right)=5\left(2x+5\right)`

`\sf x\left(2x+5\right)+5\left(2x+5\right)`

`\sf \left(2x+5\right)\left(x+5\right)`