The answer to the synthetic division is [tex]x^{2}[/tex]+9[tex]x[/tex]-2+0/x-5
A synthetic division is shorthand method used to divide a polynomial function by a binomial in the form x-c where c is a constant
To divide a polynomial function by a binomial x-c, we set up as though we are doing long division in the form,using our question above;
x-5[tex]\sqrt[/tex][tex]x^{3}[/tex]+4[tex]x^{2}[/tex]-43x-10
To divide using synthetic division, we set aside the coefficients of the dividend and the divisor then multiply with the divisor in this form:
5[tex]\sqrt[/tex]1 4 -43 10
5 45 10
1 9 2 0
The quotient would then be based on the above; [tex]x^{2}[/tex]+9[tex]x[/tex]-2+0/x-5
We apply the values under the line as our new coefficients for the quotient but note from answer that the quotient's degrees is one less than the dividend's degrees.
Learn more here: https://brainly.com/question/24223449
Answer:
x^2+9x-2+0/x-5
Step-by-step explanation:
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