jacoblihopkinsp56ihi jacoblihopkinsp56ihi
  • 03-02-2022
  • Mathematics
contestada

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

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

Respuesta :

chetankachana
chetankachana chetankachana
  • 16-02-2022

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

Ver imagen chetankachana
Answer Link

Otras preguntas

She has not made any dolls.(Future continuous). ​
Trudy writes an expression to calculate the mass defect of a carbon-14 nucleus using the symbols in the table. Which expression should trudy write? (6mp + 8mn)
why did conservatism grow?
1. If a Series circuit has two loads of 8 and 4, what do you know about their voltage drops?
please help me!! really stuggling
How did Jim Crow laws legally enforce segregation after the civil war? NO LINKS!! PLS
Hue is arranging chairs. She can form 5 rows of a given length with 4 chairs left over, or 8 rows of that same length if she gets 14 more chairs. Complete the e
which of the statements are true?​
Bill buys candy that costs $8 per pound. He will buy at most 12 pounds of candy. What are the possible amounts he will spend on candy? Use c for the amount (in
Which feature is one of the defining features of a hurricane?.