4.3 Factoring practice 1

After factorizing the polynomial [math]x^2(4x^2+4x)-2(2x+2)[/math], which of the following factors is not included in your answer?

After factorizing the polynomial [math]6x^2+x-15[/math], which of the following factors is included in your answer?

After factorizing the polynomial [math]12x^2-23x+10[/math], which of the following factors is included in your answer?

After factorizing the polynomial [math]2(2x-1)(1-9x)-(3x-4)(4x-2)[/math], which of the following factors is included in your answer?

After factorizing the polynomial [math]16x^4-8x^2+1[/math], which of the following factors is included in your answer?

Let [math]f(x)[/math] be a polynomial with zeros [math]-2, 2,[/math] and [math]3[/math]. If [math]f(4)=-1[/math], which of the following could be [math]f(x)[/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]?

Let [math]P(x)=x^3+ax^2+bx+c[/math] where [math]a[/math], [math]b[/math], and [math]c[/math] are real. The graph of the polynomial intersects the [math]x[/math]-axis at [math]x=-2[/math] and [math]x=1[/math], and intersects the [math]y[/math]-axis at [math]y=0[/math]. Find the value of [math]P(-1)[/math].

If [math]m[/math] and [math]n[/math] are integers such that [math]x^2-x-1[/math] is a factor of [math]mx^3+nx^2+1[/math], then [math]n[/math]?

[math](x+3)[/math] is factor of [math]cx^3+(16+c)x^2+(3c+2)x-3[/math] if and only if [math]c[/math] equals