Is x-3 a factor of the polynomial p (x) = 2x4-9x3+15x2-22x+12 and for waht reason

Question

Mathematics

Jolee

5 March, 10:02

Is x-3 a factor of the polynomial p (x) = 2x4-9x3+15x2-22x+12 and for waht reason

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Leon Mcintosh · Answer 1

Yes, (x - 3) is a factor of the given polynomial.

If (x - 3) was a factor of the polynomial, then 3 would be one of the zeros of the function. That means if you input 3 into the function, you will get an output of zero.

In this case, inputting 3 does produce 0. Therefore, it is a factor.