One of the solutions to the equation x3+x2−16x−16=0 is −4 .Test the solution to find the full solution set.Which of the following statements correctly describes the solution set?(1 point)ResponsesThe equation has one real solution and two non-real solutions.The equation has one real solution and two non-real solutions.The equation has all non-real solutions.The equation has all non-real solutions.The equation has all real solutions.The equation has all real solutions.The equation has two real solutions and one non-real solution.
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Plug in the known root −4 or divide by (x+4). Synthetic division gives quotient x^2 − 3x − 4 = (x−4)(x+1).
So the roots are x = −4, −1, 4 — all real.
Correct statement: "The equation has all real solutions."
So the roots are x = −4, −1, 4 — all real.
Correct statement: "The equation has all real solutions."
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