Answer:
Explanation:
First, we divide 4x³ + ax² + bx + 30 by 4x² - 4x - 15.
(4x)
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4x² - 4x - 15 | 4x³ + ax² + bx + 30
-(4x³ - 4x² - 15x)
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(ax² + 15x + 30)
- (ax² - ax - 15)
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(16x + 45)
- (16x + 40)
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5
The remainder is 5.
Since the remainder is not zero, 4x² - 4x - 15 is not a factor of 4x³ + ax² + bx + 30.
Therefore, we can conclude that 4x² - 4x - 15 is not a factor of 4x³ + ax² + bx + 30.