Decompose the polynomial into linear factors (x2−7x+6)(x2+3x−18)

Question

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Answer 1

To decompose the given polynomial into linear factors, we need to factorize each quadratic expression in the parentheses.

For the first quadratic expression, x^2 - 7x + 6, we can factorize it as (x - 6)(x - 1).

And for the second quadratic expression, x^2 + 3x - 18, we can factorize it as (x - 3)(x + 6).

Therefore, the polynomial can be decomposed into linear factors as (x - 6)(x - 1)(x - 3)(x + 6).