Answer:
- Trinomials in the form [tex]x^2+bx+c[/tex] 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
[tex]ax^2+bx+c[/tex]
As
a = 1
so
[tex]x^2+bx+c[/tex]
- Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.
For example,
[tex]x^2+7x+10[/tex]
[tex]=\left(x^2+2x\right)+\left(5x+10\right)[/tex]
[tex]=x\left(x+2\right)+5\left(x+2\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x+2[/tex]
[tex]=\left(x+2\right)\left(x+5\right)[/tex]
Therefore, Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.
