Question

9. Is x5 + 5 divisible by x + y? If yes, then find the quotient and remainder.

10. Factorise :
ab3 + bc3 + ca3 + a2b2c2-a3b2-b3c2-ca- abc

11. Find the value of f(18). If f(x) = x19 - 19x18 + 18x17
+ x5 - 19x4 + 18x3 - 17

12. Divide 7x4 - 3x2 + 8x - 1 by (x-1/7 ) using synthetic division method.

13. Divide f(x) by g(x) and write the remainder
f(x) = 13x* + 3x + V7x+ 5
g(x) = 2x + 13

please help me . I'm in hurry!!​

Answer 1

Answer:

$f(18)=-17$

Step-by-step explanation:

Given:

$f(x)=x^{19}-19x^{18}+18x^{17}+x^5-19x^4+18x^3-17$

Now,

$f(18)=(18)^{19}-19(18)^{18}+18(18)^{17}+(18)^5-19(18)^4+18(18)^3-17$

$f(18)=18(18)^{18}-19(18)^{18}+1(18)^{18}+18(18)^4-19(18)^4+1(18)^4-17$

$f(18)=19(18)^{18}-19(18)^{18}+19(18)^4-19(18)^4-17$

$f(18)=0+0-17$

$f(18)=-17$