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Find the remainder when 3x2 – 6x2 3x -7÷9 is divided by 3x – 4.?
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Find the remainder when 3x2 – 6x2 3x -7÷9 is divided by 3x – 4.?
Problem: Find the remainder when 3x2 – 6x2 + 3x - 7 is divided by 3x – 4.
Solution:
In order to find the remainder, we can use the polynomial long division method.
Step 1: Write the polynomial in standard form.
3x2 – 6x2 + 3x - 7
Step 2: Divide the first term of the polynomial by the first term of the divisor.
3x2 ÷ 3x = x
Step 3: Multiply the divisor by the quotient obtained in Step 2.
3x – 4 * x = 3x2 - 4x
Step 4: Subtract the result from Step 3 from the polynomial in standard form.
(3x2 – 6x2 + 3x - 7) - (3x2 - 4x) = -2x - 7
Step 5: Repeat Steps 2-4 with the remainder obtained in Step 4.
-2x ÷ 3x = -2/3
3x – 4 * (-2/3) = -2
(-2x - 7) - (-2) = -2x - 5
Step 6: The remainder is -2x - 5.
Therefore, the remainder when 3x2 – 6x2 + 3x - 7 is divided by 3x – 4 is -2x - 5.
Solution:
In order to find the remainder, we can use the polynomial long division method.
Step 1: Write the polynomial in standard form.
3x2 – 6x2 + 3x - 7
Step 2: Divide the first term of the polynomial by the first term of the divisor.
3x2 ÷ 3x = x
Step 3: Multiply the divisor by the quotient obtained in Step 2.
3x – 4 * x = 3x2 - 4x
Step 4: Subtract the result from Step 3 from the polynomial in standard form.
(3x2 – 6x2 + 3x - 7) - (3x2 - 4x) = -2x - 7
Step 5: Repeat Steps 2-4 with the remainder obtained in Step 4.
-2x ÷ 3x = -2/3
3x – 4 * (-2/3) = -2
(-2x - 7) - (-2) = -2x - 5
Step 6: The remainder is -2x - 5.
Therefore, the remainder when 3x2 – 6x2 + 3x - 7 is divided by 3x – 4 is -2x - 5.
Community Answer
Find the remainder when 3x2 – 6x2 3x -7÷9 is divided by 3x – 4.?
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Find the remainder when 3x2 – 6x2 3x -7÷9 is divided by 3x – 4.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the remainder when 3x2 – 6x2 3x -7÷9 is divided by 3x – 4.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the remainder when 3x2 – 6x2 3x -7÷9 is divided by 3x – 4.?.
Find the remainder when 3x2 – 6x2 3x -7÷9 is divided by 3x – 4.? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Find the remainder when 3x2 – 6x2 3x -7÷9 is divided by 3x – 4.? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the remainder when 3x2 – 6x2 3x -7÷9 is divided by 3x – 4.?.
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