A polynomial has two terms. Check all of the factoring methods that should be considered. Common factordifference of cubessum of cubesdifference of squaresperfect-square trinomialfactoring by grouping.



Answer :

A polynomial is described as a mathematical expression that contains one or more algebraic in which a constant is multiplied by one or more variables that give rise to a non-negative integral power such as ax² + bx + c.

By considering a polynomial with two terms. Methods and polynomials can be used with these methods.

  • Common factor: For example, if a polynomial is of form 2x³ - 5x² then this can be factored as

        2x³ - 5x² = x²(2x - 5)

  • Difference of the cubes:  Such as, if a polynomial is of form

         x³ - 27  then this be factored as

         x³ - 27 = (x - 3)(x² + 3x + 3²).

  • Sum of cubes: For example, if a polynomial is of form x³ + 27 this can be factored as

         x³ + 27 = (x + 3)(x² - 3x + 3²).

  • Difference of squares: For example, if a polynomial is of form x² - 9  this can be factored as

           x² - 16  =  (x + 4)(x - 4)

where perfect-square trinomial and factoring by grouping require more than two terms.

Therefore, the polynomial that has two terms in the factoring methods the Common Factor, the Difference of cubes, the sum of cubes, and the difference of squares can only be considered.

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