urgent question! please take your time to answer properly
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Answered by
1
Answer:
=x(2x)+1(2)
=3x+3
=6x.
Answered by
0
Answer:
a = - 12 or 12
Step-by-step explanation
Let f(x) = x⁴ - x³ - 11x² - x + a
g(x) = x² + 2x - 3
= x^2 + 3x - x - 3
= x( x + 3 ) - ( x + 3 )
= ( x + 3 )( x - 1 )
As given, f(x) is divisible be g(x), it means, f(x) is divisible by ( x + 3 )( x - 1 ).
By Using remainder theorem, f(x) will be 0, for x = - 3 and 1.
When x = - 3
f(x) = 0
(-3)⁴ - (-3)³ - 11(-3)² - (-3) + a = 0
81 - (-27) - 11(9) + 3 + a = 0
81 + 27 - 99 + 3 + a = 0
12 + a = 0
a = - 12
When x = 1
(1)⁴ - (1)³ - 11(1)² - (1) + a = 0
1 - 1 - 11 - 1 + a = 0
- 12 + a = 0
a = 12
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