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what is polynomial and monomial factoring​

Sagot :

Ngulapoidn

Answer:

Polynomial Factoring:

Example:

Factor x^2 + 5x + 6.

Steps:

1. Find factors of 6 that add up to 5.

  - Factors of 6: (1, 6) and (2, 3)

  - The pair that adds up to 5 is (2, 3).

2. Write the polynomial as a product of binomials:

  - x^2 + 5x + 6 = (x + 2)(x + 3).

Monomial Factoring:

Example:

Factor 12x^3y^2.

Steps:

1. Find the prime factors of 12:

  - 12 = 2^2 × 3.

2. Combine these with the variable factors:

  - 12x^3y^2 = 2^2 × 3 × x^3 × y^2.