please answer this asap! I will mark as brainliest! please
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Answer: a = 1/2
Step-by-step explanation:
f(x) = 4x³ +3x² + 12ax - 5
divided by x - 1
x = 1
f(1) = 4(1)³ + 3(1)² + 12a(1) - 5 ( USING REMAINDER THEOREM)
= 4 + 3 + 12a -5
=7 - 5 +12a
=2 + 12a (R1)
= 2 + 12a = R1
g(x) = 2x³ + ax² - 6x - 2
divided by x -2
x-2 =0
x = 2
g(2) = 2(2)³ + a(2)² - 6(2) - 2
= 2(8) + 4a - 12 -2
= 16 + 4a - 14
= 2 + 4a
2 + 4a = R2
Now we know that 3R1 + R2 - 28 = 0
3(2 + 12a) + 2 + 4a -28 =0
6 +36a + 2 +4a = 28
40a + 8 = 28
40a = 28 -8
40a = 20
a =1/2
Now mark me braniest
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Answer:
Check it out ! Hope it will hep u !
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