Ahmed learned: "to multiply a whole number by ten, just place a zero at the end of the number." for
example, 2813 × 10, he says, is 28,130. he doesn't understand why this rule is true.
a. what is the product of the polynomial 2x³ + 8x² + x + 3 times the polynomial x?
b. use part (a) as a hint. explain why the rule ahmed learned is true.

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

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation:

i think 1: 2

step-by-step explanation: