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

PLS HELLLLPPPPPPPPPPPP ASAPPPP WILL GIVE BRAINLIEST Use your knowledge about parentheses and substitution to solve the following: q = 1; r = 2; s = 3; t = 4; x
what % of the area is shaded
how about this drawing it was my very first realistic-ish drawing i have ever done it looks wird though because she needs more hair and her pupils aren't the sa
Who was the first governor to decree public taxing in the bible?
pls help me no links
Is adhd bad for me if i have uneven amounts of hyperness?
how many sides does Pentagon have xDI'm Bo.red anyone wants to talk .​
Without using logarithm tables, find the value of x given that: 2log2/3 = 1/2logx - log 18 + log 16
PLEASE ANSWER ALL QUESTIONS 50 POINTS BRAINLIEST IT'S EASY
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