evaluate the expression for the given values of x. ​

Answer:The values are as follows:20112-18Step-by-step explanation:We are given the polynomial [tex]$ x^3 + 3x^2 - 7x + 2 $[/tex]To find the value of the polynomial for different values of 'x' simply substitute the given value of x, to determine the answer.(i) x = -2.⇒ [tex]$ (-2)^3 + 3(-2)^2 - 7(-2) + 2 = -8 + 12 + 14 + 2 = -8 + 28 $[/tex]= 20.The value of the polynomial at x = -2 is 20.(ii) Similarly, x = -1.[tex]$ (-1)^3 + 3(-1)^2 - 7(-1) + 2 = -1 + 3 + 7 + 2 = -1 + 12 $[/tex]= 11(iii) x = 0[tex]$ 0 + 0 + 0 + 2 $[/tex]= 2(iv) x = 1[tex]$ 1^3 + 3(1)^3 - 7(1) + 2 = 1 + 3 - 7 + 2 = 6 - 7 $[/tex]= -1(v) x = 2[tex]$ 2^3 + 3(2)^2 - 7(2) + 2 = 8 + 12 -14 + 2 $[/tex]= 8.