The area of a triangle is 3x3-16x²+9x+28 and the base is x-4. Use synthetic division to find the expression for the height of the triangle.

Step-by-step explanation:

If "3x3" is supposed to be 3x³, you need to use ^ to indicate that there is an exponent. 3x^3 = 3x³.

area = ½(x-4)(height) = (3x³-16x²+9x+28)

height = 2(area)/(x-4)

Using synthetic division, (3x³-16x²+9x+28) ÷ (x-4) = 3x²-4x-7

height = 2(3x²-4x-7) = 6x² - 8x- 14

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step-by-step explanation: