MATH! SYNTHETIC DIVISION EASY 10 POINTS!?

Question

f(x) = 2x^3 - 6x^2 + 5x + 4

Find the quotient when you divide f(x) by (x - 4)

show work!

Answer 1

Use synthetic division to find .

The dividend is , and the root is 4.

Step 1 : Write the terms of the dividend so that the degrees of the terms are in descending order. Then write just the coefficients as shown at the right.

Step 2 : Write the constant r of the divisor (x - r) to the left. In this case, r = 4. Bring the first coefficient, 2, down.

Step 3 : Multiply the first coefficient by r : . Write the product under the second coefficient, - 6. Then add the product and the second coefficient, - 6 : .

Step 4 : Multiply the sum, 2, by r : .

Write the product under the next coefficient, 5 and add : .

Step 5 : Multiply the sum, 13, by r : .

Write the product under the next coefficient, 4 and add : . The remainder is 56.

The numbers along the bottom row are the coefficients of the quotient. Start with the power of x that is one less than the degree of the dividend. Thus, the quotient is .

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