Question

PLEASE Help me with Algebra 2 questions.

Answer 1

2.

`\left(\sqrt[3]{x^5}\right)^4=\left(x^{(5)/(3)}\right)^4\\\\=x^{(5)/(3)\cdot 4}=\bf{x^{(20)/(3)}}`

3. The polynomial has 4 terms.

The degree of the polynomial is that of the largest sum of degrees of the variables in any term. That sum is 3+1=4 in the second term. The degree of this polynomial is 4.

4. f(g(x)) = g(x)² +1 = (2x-3)² +1

... f(g(x)) = 4x² -12x +10

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Of course, you're familiar with the square: (a+b)² = a² +2ab +b² so you have no problem finding the result when a=2x, b=-3.