Identify the quotient and the remainder. (24x3 − 14x2 + 20x + 6) ÷ (4x2 − 3x + 5) = q + r / 4x2 − 3x + 5 what is q? what is r?

answer: the value of q is (6x+1) and the value of r is (-7x+1).

explanation:

the dividend is and divisor is .

we can use long division method to find the value of quotient and remainder.

the degree of divisor is 2 and the degree of dividend is 3. since so, we can divide it.

to get we need to multiply the divisor by 6x as shown in the figure, then subtract it from the dividend.

now the leading term is , we have to multiply the division by 1, then subtract it.

at the end we get -7x+1 here degree is 1 and the degree of divisor is 2. since , therefore we can not divide it further.

the given expression can be written as,

so, the value of q is (6x+1) and the value of r is (-7x+1).

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