Question

Han is multiplying 10x^4 by 5x^3 and gets 5x^7. He says that 0.5x^3 is not a polynomial because 0.5 is not an integer. What is the error in Han’s thinking? Explain your reasoning.

Answer 1

The result of the product with $5x^7$, we can see that Han neglected the zero taking 50 the same as 5 which is wrong

Given the polynomial functions

r(x) = $10x^4$

t(x) = $5x^3$

Taking the product of both functions:

P(x) = r(x) * t(x)

P(x)= $10x^4\times 5x^3$

P(x) = $(10\times 5) \times(x^4\times x^3) = 50x^7$

Comparing the result of the product with $5x^7$, we can see that Han neglected the zero taking 50 the same as 5 which is wrong.

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