Question

the weather (t²-3) is a factor of ( 2x⁴+3t³-9t-12​

Answer 1

Answer:

No

Step-by-step explanation:

$t^{3}-3=0$

$t^{2}=3$

$t=\sqrt{3}$

$2t^{4}+3t^{3}-9t-12=0$

$2(\sqrt{3})^{4}+3(\sqrt{3})^{3}-9(\sqrt{3})-12=0$

$2(9)+3(3\sqrt{3})-9\sqrt{3}-12 =0$

$18+9\sqrt{3}-9\sqrt{3}-12 =0$

$18-12 =0$

$6\neq 0$

∴ $(t^{2}-3)$ is not a factor of $2t^{4}+3t^{3}-9t-12$.