Math, asked by thakurdhananjaysingh, 7 months ago

factories x^3 -2x -5x+6​

Answers

Answered by Anonymous
3

Answer :

›»› Factorize x³ - 2x - 5x + 6 = (x - 2) (x - 1) (x + 3)

Given :

  • x³ - 2x - 5x + 6

To Find :

  • Factorize the expression.

Required Solution :

Let's start our solution and understand the steps to get our final result.

⇛ x³ - 2x - 5x + 6

Organize the similar term,

⇛ x³ + (-2 - 5)x + 6

Arrange the constant term,

⇛ x³ - 7x + 6

Do factorization,

⇛ (x - 2) (x - 1) (x + 3)

Hence Solved !

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Additional Information :

✒ Factozisation :

Factorizing is to make a single term: try to write everything as products (multiplication), for example:

→ 6x² - 9x + 10 = (2x - 5) (3x - 2)

Step ① :

Find a common factor

Example:

→ 4xy + x⁴ + x = x(4x + x³ + 1)

Step ② :

Count the number of terms

(terms are separated by + or −)

If none of these methods work, re-arrange the terms, or remove brackets and start again.

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