Answered

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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
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