What must be subtracted from the polynomial f(x)=x4 +2x3-13x2 -12x+21 , so that the resulting polynomial is exactly divisible by x2-4x+3?
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This involves division of a polynomial by a trinomial using synthetic division.
For us to carry out this division, we first expand the trinomial to get its roots.
In this case when we expand the trinomial we get :(x-3)(x-1)
In synthetic division we use only the Coefficients of the polynomial.
After doing the synthetic division, the remainder will be the last value after all the division has taken place.
In this case the remainder is 32.
Find working in the image attached.
For us to carry out this division, we first expand the trinomial to get its roots.
In this case when we expand the trinomial we get :(x-3)(x-1)
In synthetic division we use only the Coefficients of the polynomial.
After doing the synthetic division, the remainder will be the last value after all the division has taken place.
In this case the remainder is 32.
Find working in the image attached.
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Answered by
27
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Step-by-step explanation:
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