Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial. x - 2; 4x2 - 3x + 22

Question

Use the Factor Theorem to determine whether the first polynomial is a factor of the second polynomial.  x - 2; 4x2 - 3x + 22

anonymous · Answer

how do I go about solving this?

anonymous · Answer

See if (4x^2-3x+22)/(x-2) has a remaineder. This is the same as seeing if 2 is a zero of the polynomial

mertsj · Answer

The factor theorem states that a polynomial has x-k as a factor if and only if f(k) = 0

mertsj · Answer

So x-2 is a factor of your polynomial only if you replace x with 2 and get 0

anonymous · Answer

Well I did get a remainder for  (4x^2-3x+22)/(x-2)...

anonymous · Answer

You did not need to divide. To use the factor theorem follow Mertsj's method

anonymous · Answer

I replaced the 2s, and got 32 not zero...

mertsj · Answer

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