Factor the quadratic equation below. 9r^2-5r-10 9r(r-3)(r+2) 9r(r+3)(r+2) r(r-3)(r+2) Cannot be factored

Question

Factor the quadratic equation below. 9r^2-5r-10 9r(r-3)(r+2) 9r(r+3)(r+2) r(r-3)(r+2) Cannot be factored

Answer 1

To factor the quadratic equation

, we need to find two binomials that multiply together to give us the original quadratic expression.First, let's rewrite the quadratic equation in standard form:

We are looking for two numbers that multiply to

and add up to

.The pair of numbers that satisfy these conditions are

and

, because:

However, we need the sum to be

, not

. So, we need to find another pair of factors.After checking possible pairs, we find that:

This still doesn't give us the correct sum. Let's try another approach using the quadratic formula to find the roots and then factorize.The quadratic formula is given by:

For the quadratic equation

,

, and

.Plugging in these values:

Since the discriminant (

) is not a perfect square, the quadratic does not factor neatly into rational binomials.Therefore, the correct answer is:

Question

Factor the quadratic equation below. 9r^2-5r-10 9r(r-3)(r+2) 9r(r+3)(r+2) r(r-3)(r+2) Cannot be factored

Solution

Resposta