Factor 20x^2+25x-12x-15 by grouping 1. Group terms with common factors 2. Factor the GCF from each group. 3. Write the polynomial as a product of binomials (20x^2-12x)+(25x-15) 4x(5x-3)+5(5x-3) (5x-3)(square x+square )

To factor the polynomial \(20x^2 + 25x - 12x - 15\) by grouping, follow these steps:<br /><br />1. **Group terms with common factors:**<br /> \[<br /> (20x^2 - 12x) + (25x - 15)<br /> \]<br /><br />2. **Factor the GCF from each group:**<br /> - From the first group \(20x^2 - 12x\), the GCF is \(4x\):<br /> \[<br /> 4x(5x - 3)<br /> \]<br /> - From the second group \(25x - 15\), the GCF is \(5\):<br /> \[<br /> 5(5x - 3)<br /> \]<br /><br />3. **Write the polynomial as a product of binomials:**<br /> Now that we have factored out the GCF from each group, we can see that both groups contain the common binomial factor \((5x - 3)\). Therefore, we can write:<br /> \[<br /> 4x(5x - 3) + 5(5x - 3) = (5x - 3)(4x + 5)<br /> \]<br /><br />So, the factored form of the polynomial \(20x^2 + 25x - 12x - 15\) is:<br />\[<br />(5x - 3)(4x + 5)<br />\]