Saved Bookmarks
| 1. |
If the polynomials 2x³ + 9x² + 3x – 5 and x³ + x² - 4x + a leave the same remainder when divided by x-2, find the value of a. |
|
Answer» -step EXPLANATION:Let the given polynomials be f(x) and G(x).When f(x) and g(x) are divided by (x-2) they leave the same remainder.I.e (x-2) is a FACTOR of f(x) and g(x). It MEANS 2 is the zero of f(x) and g(x)So that,f(2) = g(2)2x³+ax²+3x-5 = x³+x²-4x+a2(2)³+a(2)²+3(2)-5 = 2³+2²-4(2)+a2(8)+a(4)+6-5 = 8+4-8+a16+4a+1 = 4+a17+4a = 4+a4a-a = 4-173a = -13a = -13/3.Was this answer helpful |
|