Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.


what is 2t^3+8t^2-24t in factor form

Sagot :

vivindalka
[tex]2t^3+8t^2-24t=0\\2t(t^2+4t-12)=0\\2t=0\ \vee\ t^2+4t-12=0[/tex]

[tex]t^2+4t-12=0\\a=1\ ;\ b=4\ ;\ c=-12\\\Delta=b^2-4ac\\\Delta=4^2-4\cdot1\cdot(-12)=16+48=64\\\sqrt\Delta=\sqrt{64}[/tex]

[tex]t_1=\frac{-b-\sqrt\Delta}{2a}\ \vee\ t_2=\frac{-b+\sqrt\Delta}{2a}\\t_1=\frac{-4-8}{2\cdot1}\ \vee\ t_2=\frac{-4+8}{2\cdot1}\\t_1=\frac{-12}{2}\ \vee\ t_2=\frac42\\t_1=-6\ \vee\ t_2=2[/tex]

[tex]2t(t^2+4t-12)=0\\2t(t+6)(t-2)=0[/tex]

Answer:

2t (t-2) (t+6)

Step-by-step explanation:

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.