x³-3x²-9x-5 factorise the following
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Step-by-step explanation:
A polynomial is an algebraic expression in which the exponent on any variable is a whole number. Polynomial’s degree is the highest or the greatest power of a variable in a polynomial equation.
A polynomial can be written as the product of its factors having a degree less than or equal to the original polynomial.
The process of factoring is called factorization of polynomials.
Given that x³ – 3x² – 9x – 5
The equation can be simplified as
= x³ + x² – 4x² – 4x – 5x – 5
= x²(x + 1) – 4x (x + 1) – 5(x + 1)
= (x + 1)(x² – 4x – 5)
= (x + 1)(x² -5x + x – 5)
= (x + 1)(x – 5)(x + 1)
Hence, (x +1), (x -5) and (x +1) are the factors of given polynomial .
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