Question

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

Answer 1

Answer:

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

Step-by-step 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.