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Answer:
a) 2x^4 + 8x^3 + x^2 + 3x
b) evaluate this polynomial at x = 10
Step-by-step explanation:
Hi!
a)
The product of a sum is the sum of the products, having said this:
b)
We can use the result from part a and consider x = 10.
First lets take the first polynomial
Knowing that every number (excepting probably 0, which could be undefined for some or 1 for others) to the power of 0 is one:
Which is the initial number
Now lets conisder the product of the polynomial times x and evaluate it at x=10:
We can now see that teh rule is treu because we can see the whole number as a sum of numbers from 0 to 9 multiplied by a power of 10, and when it is multiplied by 10, each power increases by one, and at the end, the final result is adding a zero at the end