meredith48034
Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Part 1: Joe and Hope were both asked to factor the following polynomial completely. Is one of them correct? Both of them? Neither of them? Explain what each of them did was correct and/or incorrect.

Part 2:

Find all the values of k so the the quadratic expression factors into two binomials. Explain the process used to find the values.

3x^2 + kx - 8​

Part 1 Joe And Hope Were Both Asked To Factor The Following Polynomial Completely Is One Of Them Correct Both Of Them Neither Of Them Explain What Each Of Them class=

Sagot :

mhanifa

Part 1

If we simplify, both Joe and Hope factored the polynomial correctly but Joe didn't complete it fully.

The first binomial can be further factored:

  • 8x + 12 = 4(2x + 3)

Part 2

The quadratic expression needs to have two roots in order to be factored as two binomials.

The discriminant must be positive or zero:

  • D = b² - 4ac ≥ 0

We have a = 3, b = k, c = -8

So we get following inequality:

  • k² - 4*3*(-8) ≥ 0
  • k² + 96 ≥ 0

Since k² is positive for any value of k, the solution is any value of k:

  • k ∈ R
ItzTds

Hope this attachment helps you.

View image ItzTds
Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.