Algebra-1 Problems

6.6 Factoring: A General Strategy


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}6x(x+4)-5(x+4)\end{equation}

2.

Factorize

\begin{equation}x^{2}(x+2)-2(x+2)\end{equation}

3.

Factorize

\begin{equation}y(6+x)-(x+6)\end{equation}

4.

Factorize

\begin{equation}x^{2}-64\end{equation}

5.

Factorize

\begin{equation}x^{2}+18x+81\end{equation}

6.

Factorize

\begin{equation}9x^{4}-36x^{2}\end{equation}

7.

Factorize

\begin{equation}4x^{3}+16x-6x^{2}-24\end{equation}

8.

Factorize

\begin{equation}3x^{4}+24x^{3}+64x^{2}\end{equation}

9.

Factorize

\begin{equation}(-4)x^{2}+400\end{equation}

10.

Factorize

\begin{equation}-192x^{2}-48x-3\end{equation}

11.

Factorize

\begin{equation}4x^{2}-4\end{equation}

12.

Factorize

\begin{equation}9x^{2}-6x+1\end{equation}

13.

Factorize

\begin{equation}70x^{3}-56x^{2}\end{equation}

14.

Factorize

\begin{equation}3x^{3}+70x^{2}+147x\end{equation}

15.

Factorize

\begin{equation}6y-63y^{2}\end{equation}

16.

Factorize

\begin{equation}x^{3}+x+3x^{2}+3\end{equation}

17.

Factorize

\begin{equation}16xy-64x^{2}\end{equation}

18.

Factorize

\begin{equation}10x+16\end{equation}

19.

Factorize

\begin{equation}33x^{3}+57x^{2}+27x\end{equation}

20.

Factorize

\begin{equation}6x^{3}-54x\end{equation}

21.

Factorize

\begin{equation}x^{3}-25x\end{equation}

22.

Factorize

\begin{equation}5x^{3}y+5x^{2}y^{2}\end{equation}

23.

Factorize

\begin{equation}2x^{3}-4\end{equation}

24.

Factorize

\begin{equation}(-6)x^{2}y+48xy-6y\end{equation}

25.

Factorize

\begin{equation}3x^{4}+36x^{3}+108x^{2}\end{equation}

26.

Factorize

\begin{equation}x^{3}+6x^{2}-36x-216\end{equation}

27.

Factorize

\begin{equation}6x^{3}+10x^{2}-600x-1000\end{equation}

28.

Factorize

\begin{equation}10x^{2}-24x-224\end{equation}

29.

Factorize

\begin{equation}3x^{6}-5x^{2}\end{equation}

30.

Factorize

\begin{equation}2x^{2}+16\end{equation}

31.

Factorize

\begin{equation}10x^{2}+80x\end{equation}

32.

Factorize

\begin{equation}11x^{5}-7x\end{equation}

33.

Factorize

\begin{equation}4x^{2}-30x-24\end{equation}

34.

Factorize

\begin{equation}16x^{5}+14x^{3}\end{equation}

35.

Factorize

\begin{equation}12x^{2}-15x+30\end{equation}