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What is the complete factor of 4x^2 + 12x- 15?

What is the complete factor of 4x^2 + 12x- 15?
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1 vote
What is the complete factor of 4x^2 + 12x- 15?

User Andrii Yurchuk
by
7.8k points

1 Answer

5 votes

Answer:

(2x + 3 + 2√6)(2x + 3 - 2√6)

Explanation:

Factorization in steps

  • 4x^2 + 12x- 15=
  • (2x)^2 + 2*2x*3 + 3^2 - 9 - 15 =
  • (2x + 3)^2 - 24 =
  • (2x + 3 + √24)(2x+3 - √24) =
  • (2x + 3 + 2√6)(2x + 3 - 2√6)
User Dwf
by
8.1k points
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