Question

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Factor the polynomial. 14x^2y + 4x − 7xy − 2 = (2x − 1)( )

Answer 1

Answer is (7xy+2)

Step-by-step explanation:

We shall use grouping method to solve the factor of given expression

`14x^2y+4x-7xy -2 \\2x(7xy+2)-1(7xy +2)\\(2x-1) (7xy+2)`

In first step we make two group by taking first two terms together

and then taking next two terms together

in first two terms we take 2x as common factors which leave 7xy as first and 2 as second term

likewise we can take -1 common in last two terms and we have again 7xy and 2

now from both expression we get 7xy+2 as common and we get

(7xy+2) (2x-1) as factor

one factor is given in the solution another factor is (7xy+2)

Answer 2

The factor form of given polynomial is (7xy+2)(2x-1). The required factor is (7xy+2).

Explanation:

The given polynomial is

`14x^2y+4x-7xy-2`

Factor out the common factors from first two terms and last two terms.

`2x(7xy+2)-1(7xy+2)`

Now, take out common factor (7xy+2).

`(7xy+2)(2x-1)`

The factor form of given polynomial is (7xy+2)(2x-1).

Therefore the required factor is (7xy+2).