Question

if X + 1 is a factor of x cube + x square - 2 X + 4 - 9 find the value of a​

Answer 1

The value of a is 2 .
Step-by-step explanation:
SOLUTION :  
Let f(x) = ax³ + x² - 2x + 4a - 9
Given (x + 1) is a factor of  f(x), so f(-1) = 0
f(x) = ax³ + x² - 2x + 4a - 9
f(- 1) = a( - 1 )³ + (- 1 )² - 2  (- 1) + 4a - 9
0 = - 1a + 1 + 2 + 4a - 9
0 = - 1a + 4a + 1 + 2 - 9
0 = 3a + 3 - 9
0 = 3a - 6
-3a = - 6
a = 6/3
a = 2
Hence, the value of a is 2 .

Answer 2

Step-by-step explanation:

The value of a=2

step by step explanation

SOLUTION:-

Let f(x)=ax³+x²-2x+4a-9

f(-1)=a(-1)³+(-1)²-2(-1)+4a-9

0=-1a+1+2+4a-9

0=-1a+4a+1+2-9

0=3a+3-9

0=3a-6

-3a=-6

a=6/3

a=2