Question

Factoring a quadratic with leading coefficient greater than 1: Problem type 1Hi there, how would I factor this?

Answer 1

Here, we want to factorize the given quadratic trinomial

Firstly, we multiply the first and last terms;

`2z^2\text{ }*(-21)=-42z^2`

Now, we need two terms, which are factors of this product and when added, will give the middle term

We know that z is imperative, let us just list out the factors of -42

We have to consider the positive and the negative numbers

So, we have the factors as follows;

1, - 1 , 2, -2 , 3 , -3 , 6, -6 , 7 , -7 , 14, -14 , 21, -21 , 42, -42

Now, we need two numbers, such that when we add, they give the mi