the polynomial 3 x cube + x square + 3 X + 5 and 4 x cube + x square - 2 X + a leaves remainder R1 and R2 when divided by x minus 2 respectively if R1 minus R2 equals to 9 find the value of a
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Answered by
17
Hello Mate!
Let the remainder be R1 and R2 as given :
R1 = ax^3 + 3x^2 - 3
Now, x - 4 => x = 4
R1 = a(4)^3 + 3(4)^2 - 3
R1 = 64a + 48 - 3
R1 = 64a + 45
R2 = 2x^2 - 5x + a
R2 = 2(4)^2 - 5(4) + a
R2 = 32 - 20 + a
R2 = 12 + a
R1 + R2 = 0
64a + 45 + 12 + a = 0
65a = - 57
a = - 57/65
2R1 - R2 = 0
2( 64a + 45 ) - 12 - a = 0
128a + 90 - 12 - a = 0
127a = - 78
a = - 78/127
Answered by
1
Answer:
right answer
Step-by-step explanation:
the first one is right
I think so so
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