Consider the polynomial

MATHEMATICS · Single correct · AP · AP Precalculus · Polynomial and Rational Functions · Polynomial and Rational Functions

Problem

Consider the polynomial h(x)=x4−2x3−5x2+6xh(x)=x^4-2x^3-5x^2+6x. In the form (y–intercept,  set of x–intercepts)(\text{y–intercept},\;\text{set of x–intercepts}), which of the following is correct? (a) ((0,6),{(−2,0),(0,0),(1,0),(3,0)})\big((0,6),\{(-2,0),(0,0),(1,0),(3,0)\}\big) (b) ((0,0),{(−2,0),(0,0),(2,0),(3,0)})\big((0,0),\{(-2,0),(0,0),(2,0),(3,0)\}\big) (c) ((0,0),{(−2,0),(0,0),(1,0),(3,0)})\big((0,0),\{(-2,0),(0,0),(1,0),(3,0)\}\big) (d) ((0,0),{(−3,0),(0,0),(1,0),(3,0)})\big((0,0),\{(-3,0),(0,0),(1,0),(3,0)\}\big)

Related theory

Browse the problem library