Question

Use the drop-down menus to complete the statements about factoring 14x2 6x – 7x – 3 by grouping.

Answer 1

The factors of the polynomial equation by complete the statements about factoring by grouping are,

$(2x-1)\\(7x+3)$

How to find the factor of polynomial?

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

To find the factor of a polynomial, make the groups of the equation, and equate them equal to zero.

The provided polynomial equation is,

$14x^2+ 6x - 7x - 3$

Rearrange the equation,

$14x^2- 7x + 6x - 3$

Take out the common terms 7x from the first two terms and 3 from the last two terms.

$7x(2x- 1) + 3(2x - 1)\\(2x-1)(7x+3)$

Thus, the factors of the polynomial equation by complete the statements about factoring by grouping are,

$(2x-1)\\(7x+3)$

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