Use synthetic division to find (7x2+3x−10)÷(x−1).Write your answer in the form q(x)+d(x)r, where q(x) is a polynomial, r is an integer, and d(x) is a linear polynomial. Simplify any fractions.______
Q. Use synthetic division to find (7x2+3x−10)÷(x−1).Write your answer in the form q(x)+d(x)r, where q(x) is a polynomial, r is an integer, and d(x) is a linear polynomial. Simplify any fractions.______
Set up synthetic division: Set up synthetic division with 1 as the zero of x−1, and write the coefficients of 7x2+3x−10: 7, 3, −10.
Bring down first coefficient: Bring down the 7 as the first coefficient of the quotient.
Multiply and write result: Multiply 1 by 7 and write the result, 7, under the second coefficient, 3.
Add second column: Add the second column: 3+7=10, and write the result below the line.
Multiply and write result: Multiply 1 by 10 and write the result, 10, under the third coefficient, −10.
Add third column: Add the third column: −10+10=0, and write the result below the line.
Identify quotient and remainder: The numbers below the line are the coefficients of the quotient polynomial and the remainder. The quotient is 7x+10 and the remainder is 0.
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