Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Consider the equation 3x^2 + 5x + 2 = 0

a) Write the Cavtored form of the trinomial.
b) What are the roots of the equation?

Sagot :

chetankachana

Answer:

Factored Form : (3x + 2)(x + 1)

Roots: x = -2/3, x = -1

Step-by-step explanation:

Multiply 2 (the term with no variable) by 3 (coefficient of the first term with a degree of 2) to get 6

Use The Diamond Method      See attachment

Factor :

  • 3x² + 5x + 2
  • 3x² + 3x + 2x + 2         (split 5x into 3x and 2x)
  • 3x(x + 1) + 2(x + 1)
  • (3x + 2)(x + 1)

Roots:

  • (3x + 2)(x + 1) = 0

Using Zero-Product property:

  • 3x + 2 = 0
  • 3x = -2
  • x = -2/3

Second scenario:

  • x + 1 = 0
  • x = -1

-Chetan K

View image chetankachana
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.