Answer:
Explanation:
To divide two polynomials, we use the long division algorithm. This involves dividing the terms of the dividend by the terms of the divisor and then using the resulting quotient and remainder to express the original polynomial as a quotient plus a remainder.
In this case, we have the following:
5h + 9 = (h + 4)
To apply the long division algorithm, we first divide the first term of the dividend, 5h, by the first term of the divisor, h. This gives us a quotient of 5 and a remainder of 0. We then subtract this quotient from the dividend, which gives us 9. We then divide this remainder by the divisor, which gives us a quotient of 2 and a remainder of 1. We then subtract this quotient from the dividend, which gives us 0.
Therefore, the result of the division is:
5h + 9 = (h + 4) = 5h + 4h + 1 + 0
where the quotient is 5h + 4h = 9h and the remainder is 0.
Since the remainder is 0, the polynomial divides evenly, and the final result is:
(5h + 9) = (h + 4) = 9h + 0
Note that the remainder is usually expressed as a fraction, but in this case it is 0, so it is not necessary to include it in the final result.