Question

find the remainder when 3x⁴+24x³-7x²-10x +6 is divided by 2x + 5​

Answer 1

Answer:

2x + 5 = 0

2x = - 5

x = - 5 / 2

$p(x) = 3 {x}^{4} + 24 {x}^{3} - 7 {x}^{2} - 10x + 6 \\ \\ p( - \frac{5}{2} ) = 3 ({ - \frac{5}{2}) \: }^{4} + 24( { - \frac{5}{2}) }^{2} + 7( { - \frac{5}{2}) }^{2} - 10( - \frac{5}{2} ) + 6 \\ \\ 3 \times - \frac{625}{16} + 24 \times - \frac{25}{4} - ( - \frac{50}{2} ) + 6 \\ \\ - \frac{1875}{16} - \frac{600}{4} + 25 + 6 \\ \\ - \frac{1875}{16} - 150 + 31 \\ \\ - \frac{1875}{16} - 119 \\ \\ \frac{ - 1875 - 1904}{16} \\ \\ \frac{ - 3779}{16}$

Hope it helps to you!!