Question

Factor 6y 2 - 48 + 42y

Answer 1

The factorization of the given expression is given by:

`6y^2-48+42y=6(y-1)(y+8)`

Explanation:

To factor a polynomial means to express it as a product of the rational factor of the given expression.

The quadratic expression in terms of the variable y is given by:

`6y^2-48+42y`

It has three terms such that all the three terms are a multiple of 6 , hence we take out common 6 from each term to get the expression as:

`6y^2-48+42y=6(y^2-8+7y)\\\\i.e.\\\\6y^2-48+42y=6(y^2+8y-y-8)\\\\i.e.\\\\6y^2-48+42y=6(y(y+8)-1(y+8))\\\\i.e.\\\\6y^2-48+42y=6(y-1)(y+8)`