find the value of a if x + 2is factor of 4x⁴ + 2x³- 3x² + 8x + 5a
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Answer:
value of a is - 4
Step-by-step explanation:
1 step. x + 2 = 0
2nd step. x = -2
3rd step. put this value of x = -2 in every place where x comes
4th step. p (x) = 4x^4 + 2x^3 - 3x^2 + 8x + 5a = 0
5th step. p(x) = 4(-2)^4 + 2(-2)^3 - 3(-2)^2 +8(-2)+ 5a = 0
6th step. 4 (16) + 2 (-8) - 3 (4) + 8 (-2) + 5a = 0
7th step. 64 + (-16) - 12 + (-16) +5a = 0
8th step. 64 - 16 - 12 - 16 + 5a = 0
9th step 20 + 5a = 0
10th step. a = -20/5
11th step. a = -4
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Answer:
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