Answer :
The factors of the given polynomial 3x⁵ - 5x⁴ - 27x³ + 45x² are x², 3x³, -5x², -9x, and 5, obtained by factoring out the common element of x².
the factors of the polynomial 3x⁵ - 5x⁴ - 27x³ + 45x² are x²,3x³, -5x², -9x, and 5. This is obtained by factoring out the common factor, which in this case is x^2.
when you are tasked with finding the factors of a polynomial such as 3x⁵ - 5x⁴ - 27x³ + 45x² in a subject like Mathematics, you begin by factoring out the common factor, if there is one. Here, we can clearly see that x² is a common factor. Once x² is factored out, we get x²(3x³-5x²-9x+5), which gives us the factors we need. Hence, the factors of the given polynomial are x²,3x³,-5x²,-9x and 5.
when factoring a polynomial, always start by checking for and factoring out the greatest common factor, then proceed to factor the remaining polynomial if it is factorable.
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