The answer is D, because that is what you should get when you multiply it out.
4x^2 times x^2 = 4x^4 because...
1) multiply the 4 and the one in front of the x on the second term = 4 then
2) multiply x^2 times x^2 to get x^4, not x^3, so you can immediately eliminate A and B to save time.
Now let's deal with the second part..."may or may not be" part
A polynomial is an expression with more than two algebraic terms
terms are like... 2x + 3y ---there's two terms there, eventhough the 2 and x are multiplied, it doesn't count (same with the 3 and y) since it only have two terms, not more than two terms, it is called a binomial, not polynomial. I think that's what they mean by that
one term with a variable (y,x,and so on) is called a monomial
one term with no var is called a constant
there's many more but hope this gave you some help
In can be less mental effort if the equation is multiplied by -1 first. .. x^2 -10x +8 = 0 .. x^2 -10x +25 +8 -25 = 0 .. (x -5)^2 = 17 .. x -5 = ±√17 .. x = 5 ±√17
The values of x that satisfy the given equation are .. x = 5 -√17 ≈ 0.877 .. x = 5 +√17 ≈ 9.123
