Question

solve this pls
-maths
the first answer will get the brainliest if its right

Answer 1

1) (x³-8)/(x-2) = ((x-2)(x²+2x+4))/(x-2) = (x²+2x+4)

2)(2x³+7x²-24x-45)/(x-3)
[ roots for 2x³+7x²-24x-45 is shown in the image]
= ((x-3)(x+5)(2x+3))/(x-3)
= (x+5)(2x+3)

3)(2x⁴+9x³+6x²-11x-6)/(x-1)
[ roots for 2x⁴+9x³+6x²-11x-6 is shown in the image ]
=((x-1)(x+3)(x+2)(2x+1))/(x-1)
=(x+3)(x+2)(2x+1)

4)(x⁴-x²-12)/(x+2)
[ roots for x⁴-x²-12 is shown in the image ]
=((x+2)(x-2)(x²+3))/(x+2)
=(x-2)(x³+3)

5)(69+11x-x²+x³)/(x+3)
[ roots for 69+11x-x²+x³ is shown in the image ]
=((x+3)(x²-4x+23))/(x+3)
=(x²-4x+23)

6)(2x³+9x²-11x-30)/(x+5)
[ roots for 2x³+9x²-11x-30 is shown in the image ]
=((x+5)(x-2)(2x+3))/(x+5)
=(x-2)(2x+3)

7)(2x⁴+x³-8x²-x+6)/(2x-3)
[ roots for 2x⁴+x³-8x²-x+6 is shown in the image ]
=((x+1)(x-1)(x+2)(2x-3))/(2x-3)
=(x+1)(x-1)(x+2)

8)(3x³+x²-20x+12)/(3x-2)
[ roots for 3x³+x²-20x+12 is shown in the image ]
=((x-2)(x+3)(3x+2))/(3x+2)
=(x-2)(x+3)

9)(2x⁴-5x³+2x²-x-3)/(x-2)
[ 2x⁴-5x³+2x²-x-3 has no roots and see the second image]

10)(x³-6x²+9x+3)/(x-1)
[ x³-6x²+9x+3 has no roots and refer third image]