Question

Use the grouping method to express the polynomial below as a product of its factors. Write each factor as a polynomial in descending order 6x^2-13x

Answer 1

From the expression:

`6x^2-13x`

We can see there is a common factor for the two terms: x. Then, we can express the binomial as a producto of the common factor x and a new binomial. This new binomial is composed by the terms of the original one divided by the common factor. If we divide 6x^2 by x we obtain 6x, while dividing -13x by x, we obtain -13. Then, the factorization of the previous expressino will be:

`6x^2-13x=x(6x-13)`