Use the drop-down menus to complete the statements about factoring 14x^2+6x-7x-3 by grouping The GCF of the group (14x^2-7x) is square The common binomial factor is square The GCF of the group (6x-3) is square become x 2x 7 7x The factored expression is square square

To factor the expression $14x^{2}+6x-7x-3$ by grouping, we can follow these steps:<br /><br />1. Group the terms: $(14x^{2}-7x)+(6x-3)$<br />2. Find the GCF of each group:<br /> - The GCF of $(14x^{2}-7x)$ is $7x$.<br /> - The GCF of $(6x-3)$ is $3$.<br />3. Factor out the GCF from each group:<br /> - $(14x^{2}-7x) = 7x(2x-1)$<br /> - $(6x-3) = 3(2x-1)$<br />4. Combine the factored groups:<br /> - $7x(2x-1) + 3(2x-1)$<br /> - $(7x+3)(2x-1)$<br /><br />Therefore, the factored expression is $(7x+3)(2x-1)$.