Use synthetic division to verify that x 4 is a zero of gx

Use synthetic division to verify that x = -4 is a zero of g(x) = 3x^3 + 11x^2 - 2x + 8. Determine a polynomial function of degree 3 with zeros x = -2, 8, 10.

x=-4 is zero that means x+4 is a factor

so dividing g(x) by x+4 should not give any remainder

x+4 ) 3x^3 +11x^2 -2x + 8 (3x^2 – x +2

3x^3+12x^2

- - - - - - - -- -- -- - -

-x^2 -2x +8

-x^2 -4x

- - - - -- - -

2x + 8

Since remainder is 0

X=-4 IS zero of g(x)

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Use synthetic division to verify that x = -4 is a zero of g(x) = 3x^3 + 11x^2 - 2x + 8. Determine a polynomial function of degree 3 with zeros x = -2, 8, 10.So

Use synthetic division to verify that x 4 is a zero of gx

Solution

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