Answer :
Final answer:
To divide the given polynomials, use polynomial long division to find the quotient.
Explanation:
To divide 10x⁴ +17x³ -62x² + 30x -3 by 2x²+7x -1, you can use polynomial long division.
Step 1: Divide the first term of the numerator (10x⁴) by the first term of the denominator (2x²) to get 5x². Write this as the first term of the quotient.
Step 2: Multiply the entire denominator (2x²+7x -1) by 5x², and subtract the result from the numerator. Write the remainder as the new numerator.
Step 3: Repeat steps 1 and 2 until you have divided all the terms of the numerator by the denominator. The final quotient is the sum of all the terms you obtained.
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