One root of f (x) = 2x3 + 9x2 + 7x - 6 is - 3. Explain how to find the factors of the polynomial.

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Mathematics

Simone Foster

25 January, 04:41

One root of f (x) = 2x3 + 9x2 + 7x - 6 is - 3. Explain how to find the factors of the polynomial.

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Merlin · Answer 1

Identify the factor x + 3 from the given root - 3. Use synthetic division to divide the polynomial by x + 3. Use the bottom row of the synthetic division as coefficients in the quadratic 2x2 + 3 x - 2. Factor the quotient to find the two other factors: x + 2 and 2x - 1.