Question

Factor quadratic of 3x² - 23x +30

Answer 1

(3x - 5)(x - 6).

Explanation:

In order to factor this quadratic, we can use the method of grouping. First, we need to find two numbers that add up to 23 and multiply to 90. The two numbers 18 and 5 satisfy both of these conditions,

since 18 + 5= 23 and 18*5

We can then factor the quadratic as follows:

`\sf 3x^2 - 23x +30`

we can write it as:

`\sf 3x^2 -(18+5)x + 30`

Opening bracket

`\sf 3x^2 - 18x -5x +30`

Taking common from each two terms

`\sf 3x(x-6) -5(x-6)`

Taking common and keeping remaining in bracket

`\sf (x-6)(3x-5)`

Therefore, the quadratic of
`\sf 3x^2 - 23x +30` can be factored as (3x - 5)(x - 6).