3 Easy Quadratics to Factor when a is not 1

The video tutorial explains how to factor quadratic expressions when the leading coefficient is not 1. It provides three examples, demonstrating the process of rewriting trinomials as products of binomials. The tutorial emphasizes recognizing prime numbers and understanding the impact of positive and negative terms on the factoring process.

What is the main challenge when factoring quadratics with a leading coefficient not equal to 1?

• There are no prime numbers involved.

• The process is always complex.

• It can be tricky but some problems are basic.

• The quadratic cannot be factored.

When factoring 3x^2 - 4x + 1, why are the factors limited?

• Because the quadratic is already in simplest form.

• Because the middle term is positive.

• Because 4 is a composite number.

• Because 3 and 1 are both prime numbers.

In the quadratic 3x^2 - 4x + 1, what are the signs of the factors?

• Cannot be determined

• Both positive

• Both negative

• One positive, one negative

For the quadratic 2x^2 + 5x + 3, what is the correct arrangement of factors to achieve the middle term?

• 2x + 1 and x + 3

• x + 3 and 2x + 1

• 2x + 3 and x + 1

• 3x + 1 and 2x + 1

Why must both factors be positive in the quadratic 2x^2 + 5x + 3?

• Because both the last and middle terms are positive.

• Because the leading coefficient is prime.

• Because the middle term is negative.

• Because the last term is negative.

In the quadratic 7t^2 + 2t - 5, why is one factor positive and one negative?

• Because the middle term is negative.

• Because the last term is negative.

• Because the leading coefficient is composite.

• Because both terms are positive.

What determines the sign of the larger product in the quadratic 7t^2 + 2t - 5?

• The sign of the middle term

• The size of the leading coefficient

• The sign of the last term

• The presence of prime numbers