Chesley

2021-09-15

If the result of a polynomial division is $2{x}^{3}-4{x}^{2}-5x+23x+2$ , make at least three definitive statements

Nichole Watt

Skilled2021-09-16Added 100 answers

Given that, the result of the polynomial division is $2{x}^{3}-4{x}^{2}-5x+23x+2$

From the above expression, it is observed that the divisor is (x+2), the remainder is 23, and the quotient is$2{x}^{3}-4{x}^{2}-5x$

Then, the dividend is$\left[(2{x}^{3}-4{x}^{2}-5x)\times (x+2)\right]+23.$

(i) The dividend is has degree higher than the divisor.

(ii) The division can be performed by both long division method and remainder method. As the degree of the divisor is 1 so remainder method is easier to use as compared to the long division method.

(iii) The dividend is not completely divisible by the divisor as there is remainder present equal to 23.

Above mentioned are the three definitive statements regarding the dividend and the divisor.

From the above expression, it is observed that the divisor is (x+2), the remainder is 23, and the quotient is

Then, the dividend is

(i) The dividend is has degree higher than the divisor.

(ii) The division can be performed by both long division method and remainder method. As the degree of the divisor is 1 so remainder method is easier to use as compared to the long division method.

(iii) The dividend is not completely divisible by the divisor as there is remainder present equal to 23.

Above mentioned are the three definitive statements regarding the dividend and the divisor.

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