One root of f(x) = 2x3 + 9x2 + 7x - 6 is –3. Explain how to find the factors of the polynomial.
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Step-by-step explanation:
a trinomial in the form x^2 + bx + c (where c is positive), such as x^2 + 7x + 10, can be factored as the product of two binomials, in this case (x + 5)(x + 2). The first term in each binomial comes from the factors of x^2, x and x. The second term in each binomial comes from the factors of the constant term, +10, that add to the coefficient of the middle term, +7, which in this case are +5 and +2.
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