**sdrta.net:**

** One can determine the number of roots by seeing the degree of the given polynomial.You are watching: How can you quickly determine the number of roots**

**Step-by-step explanation:**

**The number of roots can be determine by just seeing the highest power of the given equation.**

Example,

1) for the equation

here, the highest power the equation is one. So, it will have one root.

Lets check it by simplify

Hence, the equation has only one root namely x = 4.

2) Consider a quadratic equation,

here, the highest power the equation is two.So, it will have two roots.

Lets check it by simplify using middle term splitting method,

orthus, the equation has two roots.

**Hence, one can determine the number of roots by seeing the degree of the given polynomial.**

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