Answered

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

Determine the remainder when 6x^3+ 23x^2 - 6x -8 is divided by 3x-2. What information does the remainder provide about 3x-2? Explain.

Sagot :

we have

6x^3+ 23x^2 - 6x -8 : (3x-2)

step 1

Verify if (3x-2) represents a factor

If (3x-2) is a factor

then

3x-2=0 ------> x=2/3

Substitute the value of x=2/3 in the given expression

6(2/3)^3+23(2/3)^2-6(2/3)-8

6(8/27)+23(4/9)-4-8

(16/9)+(92/9)-12

12-12=0

that means

(3x-2) is a zero of the given function

therefore

when divide (6x^3+ 23x^2 - 6x -8 ) by (3x-2), the remainder is zero

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.