The greatest common fact or 32 and 96 is 2
The question is
if p(x)= 2x³-3x+5, what is the remainder of p(x) divided by (x-5)
We use the synthetic division to find the remainder,
x-5=0
x=5
Now, write the coefficients of polynomial.
5 | 2 0 -3 5
| ↓ 10 50 235
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2 10 47 | 240→ is the remainder.
Quotient= 2x²+10x+47
Remainder= 240
The GCF is 2
Pull out 2 from each number:
2(2n + 5)
Hope this helps!


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