Question

Each quadratic equation can have as many as ______ solutions because the degree is 2.

Answer 1

Given statement is "Each quadratic equation can have as many as ______ solutions because the degree is 2."

Now we have to figure out about what will go into the blank space so that given statement becomes sensible.

We know that any quadratic equation looks like in shape of

$y=ax^2+bx+c$

Which is a polynomial of degree 2 because the highest exponent on the variable x is 2.

We know that a polynomial of degree n, can have as many as "n" solutions.

So using that logic, quadratic equation of degree 2 will also have 2 solutions.

Hence final answer thta will go into the blank space is "2".