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spayn [35]
3 years ago
8

Use synthetic substitution to evaluate the polynomial P(x) = x^3-3x^2+4x-7 for x=3

Mathematics
1 answer:
Zina [86]3 years ago
3 0

Answer:

\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}

Step-by-step explanation:

We are given polynomial as

P(x)=x^3-3x^2+4x-7

and it is divided by x=3 or x-3

we can use synthetic division

so, we got

Remainder =5

Quotient is

=x^2+0x+4

=x^2+4

we can write as

\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}


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