To divide the polynomial 12x^2 + 2x - 9 by 4x - 2, we can use long division:
3x + 2
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4x - 2 | 12x^2 + 2x - 9
- (12x^2 - 6x)
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8x - 9
- (8x - 4)
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-5
The quotient is 3x + 2 and the remainder is -5. Thus, the polynomial can be expressed as the product of the divisor and the quotient plus the remainder as:
12x^2 + 2x - 9 = (4x - 2)(3x + 2) - 5
Divide the polynomial 12x2+2x−9 by 4x−2. Then express the polynomial as the product of the divisor and the quotient plus the remainder.
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