Sarah is examining the quadratic equation y = 2x² + 5x − 3 and calculates the discriminant. What can Sarah learn about the roots? O Since the discriminant has a value of 49, there are two real rational roots. O Since the discriminant has a value of 1, there is one real rational root. O Since the discriminant has a value of 1, there are two real rational roots. O Since the discriminant has a value of -19, there are two complex roots. O Since the discriminant has a value of 29, there are two real irrational roots.

A root of the quadratic equation in x is 3. Find its other root. (2m - 3)x² + 3(m²+1)x+ 27 = 0

Which equation is set up for direct use of the zero-factor property? Solve it. A. 5x - 43x - 18 = 0 B. (6x +5) = 7 D. (5x- 2)(x- 6)= 0 C.x +x= 90 Choose the correct answer below. O A. 5x-43x- 18 = 0 O B. (6x+5) = 7 O C. x +x=90 D. (5x-2)(x-6) = 0 The solution set is (Simplify your answer. Type each solution only once. Use a comma to separate an Click to select your answer(S). Videos: Solving Quadratic Equations by Factoring Video Videos: Solving Quadratic Equations by Factoring Video o search 19) 2/5

1. Consider the equation 2x³-x²-13x-6=0. a. Use Descartes rule of signs to determine the number of possible positive and the number of possible negative roots. b. Use Descartes Rational Root Theorem to see what the possible rational roots are. c. Verify that x = 3 is a root. d. Use long division to reduce the equation to a quadratic equation. e. Solve the resulting quadratic equation to find the remaining root.