Find the rational roots and solve the equation. 4x³ - 10x² - 25x + 4 = 0 A) $\frac { - 3 \pm \sqrt { 13 } } { 2 } , 4$ B) $\frac { - 3 \pm \sqrt { 15 } } { 4 } , 4$ C) $\frac { - 3 \pm \sqrt { 13 } } { 4 } , - 4$ D) $\frac { - 3 \pm \sqrt { 13 } } { 4 } , 4$ E) $\frac { 3 \pm \sqrt { 13 } } { 4 } , 4$

Question

Quizplus · Accepted Answer

The correct roots can be found by factoring or using the quadratic formula. The given equation simplifies to $4x^3 - 10x^2 - 25x + 4 = 0$. By rational root theorem and trial and error or other methods, we find the roots are $\frac{-3 \pm \sqrt{13}}{4}$ and $4$, making option D correct.

Find the Rational Roots and Solve the Equation −3±132,4\frac { - 3 \pm \sqrt { 13 } } { 2 } , 42−3±13​​,4

Find the Rational Roots and Solve the Equation $\frac { - 3 \pm \sqrt { 13 } } { 2 } , 4$