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6x3+29x2-40x-42 divided by 6x+5 is x2+4x-10 remainder 8 or as x2+4x-10+8/(6x+5)

If the answer is correct then the quotient multiplied by the divisor should be the same as the dividend:-

(6x+5)*(x2+4x-10) + (6x+5)*8/(6x+5)

Multiply term by term with (6x+5):-

6x3+5x2+24x2+20x-60x-50+8

Collect like terms:-

6x3+29x2-40x-42 which makes the answer correct.

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โˆ™ 2011-04-30 14:24:20
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What is the quotient and remainder of 6x cubed plus 29x squared minus 40x minus 42 divided by 6x plus 5 giving reasons why your answer is correct?
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This is an extremely poor question. There are 28 pairs of numbers and, in less than 10 minutes, I could find reasons why 17 pair were different from the other numbers in the set. A bit more time and I am sure I could do the rest. So here they are: 53 and 72: leave a remainder of 15 when divided by 19. 53 and 77: leave a remainder of 5 when divided by 12. 53 and 82: leave a remainder of 24 when divided by 29. 53 and 87: leave a remainder of 2 when divided by 17. 53 and 95: leave a remainder of 11 when divided by 21. 53 and 97: leave a remainder of 9 when divided by 11. 67 and 95: leave a remainder of 11 when divided by 28. 67 and 87: leave a remainder of 7 when divided by 17. 67 and 97: leave a remainder of 7 when divided by 30. 72 and 82: leave a remainder of 0 when divided by 2 (are even). 72 and 87: leave a remainder of 0 when divided by 3 (multiples of 3). 72 and 95: leave a remainder of 3 when divided by 23. 72 and 97: leave a remainder of 22 when divided by 25. 77 and 95: leave a remainder of 5 when divided by 9. 77 and 97: leave a remainder of 17 when divided by 20. 82 and 95: leave a remainder of 4 when divided by 13. 87 and 95: leave a remainder of 7 when divided by 8.


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