what must be subtracted from 34a - 22a⁴- 12 A⁴ - 10a² - 75 so that the now the resulting polynomial is exactly divisible by - 4a³ + 2a² - 8a + 30?
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Step-by-step explanation:
It is given that the dividend is p(x)=x
3
+5x
2
+5x+8, the divisor is g(x)=x
2
+3x−2, therefore, the division is as shown above.
Therefore, from the division, we get that the remainder is x+12.
Hence, x+12 must be subtracted from x
3
+5x
2
+5x+8 so that the resulting polynomial is exactly divisible by x
2
+3x−2.
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