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Find the degree, leading coefficient, and end behavior of the polynomial (x-5)(x-3)^6(x+5)^8?
3 Answers
- ?Lv 72 months ago
(x - 5)(x - 3)^6(x + 5)^8
= x^15 + 17 x^14 + 5 x^13 - 1315 x^12 - 4435 x^11 + 42317 x^10 + 198449 x^9 - 769735 x^8 - 4154125 x^7 + 9215875 x^6 + 48369375 x^5 - 79565625 x^4 - 308390625 x^3 + 474609375 x^2 + 854296875 x - 1423828125
- ted sLv 73 months ago
degree is 15 ; starts LOW and ends HIGH...graph does not cross x axis at -5 or 3 but does cross at 5
- cosmoLv 73 months ago
Well, the coefficient of the x^15 term is going to be 1, and it's an odd function that is equal to minus infinity when x is minus infinity and plus infinity when x is plus infinity.
