Divide 4x⁴ - 5x² + 8x - 12 by 2x - 3 using synthetic division. Complete formula po ty. ​

Nasa attachment po ang sagot/solution——-Steps on how to do synthetic division1. For the dividends, grab only the coefficients. If there is no term for a degree (in the example, degree two), write zero. 4x^4 —> 40^3 —> 0-5x^2 —> -58x —> 8-12 —> -122. For the divisor, get the root of the binomial using zero product property. 0 = 2x - 33 = 2x3/2 = x3. Now let’s start the synthetic division. Bring down the first dividend / coefficient. Refer to the attached image. 4. Multiply the number you brought down to the divisor. 4 • 3/2 = 12/2 = 65. Add the product to the next coefficient. 0 + 6 = 66. Multiply the sum to the divisor.6 • 3/2 = 18/2 = 97. Repeat steps 5 and 6 until you reach the end. 8. The last number you get is the remainder. To say the remainder in your final answer, you can add the letter r next to the remainder, or make the divisor polynomial its denominator like the one in the attached image.

Answered by mikurosonya | 2024-10-17