Q. Divide the polynomials.Your answer should be a polynomial.x+2x2+7x+10=
Set up the division: Set up the division.We are dividing the polynomial x2+7x+10 by x+2. This is similar to long division with numbers. We will determine how many times x+2 goes into x2+7x+10.
Divide first term: Divide the first term of the dividend by the first term of the divisor. Divide x2 by x to get x. This is the first term of the quotient.
Multiply divisor and quotient: Multiply the divisor by the first term of the quotient.Multiply (x+2) by x to get x2+2x. This will be subtracted from the dividend.
Subtract result from dividend: Subtract the result from the dividend.Subtract (x2+2x) from (x2+7x+10) to get 5x+10.
Bring down next term: Bring down the next term of the dividend.Since we have already used x2 and 7x, we bring down the next term, which is +10, to continue the division.
Divide new term: Divide the new term of the dividend by the first term of the divisor. Divide 5x by x to get 5. This is the next term of the quotient.
Multiply divisor and new quotient: Multiply the divisor by the new term of the quotient. Multiply (x+2) by 5 to get 5x+10. This will be subtracted from the new dividend.
Subtract result from new dividend: Subtract the result from the new dividend. Subtract 5x+10 from 5x+10 to get 0. This means the division is exact, and there is no remainder.
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