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Answer :
Final answer:
To divide the polynomial (10x³+19x²+x-7) by (5x+2), use polynomial long division to find the quotient and remainder as 2x²+3x-3 with a remainder of -13.
Explanation:
To divide the polynomial (10x³+19x²+x-7) by (5x+2), we can use polynomial long division.
Dividing the first term of the dividend by the first term of the divisor gives us 2x². We then multiply the entire divisor by 2x² and subtract it from the dividend.
Continuing this process, we find that the quotient is 2x²+3x-3 and the remainder is -13. Therefore, the result of the division is 2x²+3x-3 with a remainder of -13.
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