4.3 Factoring (in class)

After factorizing the polynomial [math](3x+2)^3-18x(3x+2)[/math], which of the following factors is included in your answer?

After factorizing the polynomial [math]x^4-16y^4[/math], which of the following factors is not included in your answer?

After factorizing the polynomial [math]x^6-64[/math], which of the following factors is included in your answer?

Let [math]f(x)[/math] be a cubic polynomial. If [math]x-2[/math], [math]2x-1[/math], and [math]x+1[/math] are factors of [math]f(x)[/math] and [math]f(1)=10[/math], what is [math]f(x)[/math]?

Let [math]f(x)[/math] be a polynomial function having factors [math]x-1, x+2[/math], and [math]x-3[/math]. Which of the following function(s) also have/has these three factors?

Which of the following expressions is/are factor(s) of [math]x^3-(a+b+c)x^2+(ab+bc+ca)x-abc[/math]?

If [math]f(x)=ax^4+bx^3+cx^2+dx+e[/math] is a polynomial that satisfies [math]f(2020)=f(2021)=f(2022)=f(2023)=1[/math] and [math]f(2024)=25[/math], what is the value of [math]b[/math]?