Problem

Use this decision rule: \((1)\) zero-product property if already factored and equal to \(0\); \((2)\) square-root property if an isolated square equals a constant; \((3)\) factoring if a short integer factorization is visible; otherwise \((4)\) quadratic formula. For \(x^{2}+6x+5=0\), which complete response correctly applies the decision rule?

Answer choices

Choose your path.

Preview only

structure=monic trinomial with integer pair product5 sum6; selected method=factoring; work=(x+1)(x+5)=0; solutions=x=-1,-5; check=both make one factor0

structure=monic trinomial with integer pair product5 sum6; selected method=factoring; work=(x+1)(x+5)=0 then x+1=0; solutions=x=-1; check=x=-1 makes one factor0

structure=quadratic with x² term; selected method=square-root property; work=x²=-6x-5 then x=±√(-6x-5); solutions=not isolated; check=none

structure=standard-form quadratic; selected method=quadratic formula; work=x=(-6±√16)/2; solutions=x=-1,-5; check=both satisfy equation

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Turn the preview into practice.

Gozunta lets you study this problem—and more than 10,000 others.