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# A remainder of 0 in the process of doing synthetic division tells you that you have found a root or a factor of the polynomial?

Updated: 9/17/2023

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Q: A remainder of 0 in the process of doing synthetic division tells you that you have found a root or a factor of the polynomial?
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### When a remainder of 1 or more in the process of doing synthetic division tells you that you have found a root of the polynomial function and a factor of the polynomial.?

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That is true.

### How is dividing a polynomial by a binomial similar to or different from the long division you learned in elementary school?

Polynomial division is actually quite similar to the method of long division that I was taught back in elementary school. Instead of simply using numbers as we did back then, there are variables to deal with as well. However, the process is effectively the same. We go through the problem term by term, just like in numerical long division.

### Why is it important to know the reverse process of multiplication?

To cross-check that a multiplication is correct as for example if 7*8 = 56 then the reverse process of division must be correct as 56/7 = 8 or 56/8 = 7

### What is a number left over called?

Your question isn't fully clear, but if you are referring to the process of division of numbers, the "number left over" is called a remainder.

### please give me the full solution of 1020 and 11594 hcf by division methord?

To find the highest common factor (HCF) of two numbers using the division method, follow these steps: For 1020 and 11594: Step 1: Divide the larger number by the smaller number. Divide 11594 by 1020: 11594 ÷ 1020 = 11 remainder 414 Step 2: Now, divide the divisor from the previous step (1020) by the remainder obtained (414). 1020 ÷ 414 = 2 remainder 192 Step 3: Repeat the division process with the previous divisor (414) and the new remainder (192). 414 ÷ 192 = 2 remainder 30 Step 4: Continue the process until you obtain a remainder of 0. 192 ÷ 30 = 6 remainder 12 30 ÷ 12 = 2 remainder 6 12 ÷ 6 = 2 remainder 0 Step 5: The last divisor with a remainder of 0 is the HCF of the two numbers. Therefore, the HCF of 1020 and 11594 is 6.

Factoring

### What are some good examples of a synthetic production process and an analytic process?

synthetic process: fertilizer or paintanalytic process: extracting aluminium from ore called bauxite

### How can you get a remainder of 8 by dividing a 3-digit number with a 1-digit number?

The process of multiplication doesn't produce remainders.The process of division does.If you want to divide a 3-digit number by a one-digit numberand get a remainder of 8, try these:107 divided by 9116 divided by 9125 divided by 9134 divided by 9143 divided by 9..Add as many 9s to 107 as you want to, and then divide the result by 9.The remainder will always be 8.

### It is the process of repeated subtraction?

Somehow, division can be considered a process of repeated subtraction, in a way. Although usually it is better to consider division as the inverse to multiplication.Somehow, division can be considered a process of repeated subtraction, in a way. Although usually it is better to consider division as the inverse to multiplication.Somehow, division can be considered a process of repeated subtraction, in a way. Although usually it is better to consider division as the inverse to multiplication.Somehow, division can be considered a process of repeated subtraction, in a way. Although usually it is better to consider division as the inverse to multiplication.