Question

How do I factor trinomials of a form ax^2+bx+c when a=1

In one paragraph

Answer 1

• Trinomials in the form
  `x^2+bx+c` can often be factored as the product of two binomials.

Explanation:

As we know that a polynomial with three terms is said to be a trinomial.

Considering the trinomial of a form

`ax^2+bx+c`

As

a = 1

so

`x^2+bx+c`

• Trinomials in the form
  `x^2+bx+c` can often be factored as the product of two binomials.

For example,

`x^2+7x+10`

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

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

`\mathrm{Factor\:out\:common\:term\:}x+2`

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

Therefore, Trinomials in the form
`x^2+bx+c` can often be factored as the product of two binomials.