Algebra-1 Problems

6.6 Factoring: A General Strategy


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}6x(x+7)-7(x+7)\end{equation}

2.

Factorize

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

3.

Factorize

\begin{equation}y(3+x)-(x+3)\end{equation}

4.

Factorize

\begin{equation}x^{2}-49\end{equation}

5.

Factorize

\begin{equation}x^{2}+10x+25\end{equation}

6.

Factorize

\begin{equation}8x^{4}-96x^{2}\end{equation}

7.

Factorize

\begin{equation}56x^{3}+28x-24x^{2}-12\end{equation}

8.

Factorize

\begin{equation}9x^{4}+22x^{3}+36x^{2}\end{equation}

9.

Factorize

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

10.

Factorize

\begin{equation}-512x^{2}-128x-8\end{equation}

11.

Factorize

\begin{equation}9x^{2}-100\end{equation}

12.

Factorize

\begin{equation}64x^{2}-128x+64\end{equation}

13.

Factorize

\begin{equation}27x^{3}-6x^{2}\end{equation}

14.

Factorize

\begin{equation}8x^{3}+88x^{2}+144x\end{equation}

15.

Factorize

\begin{equation}7y-24y^{2}\end{equation}

16.

Factorize

\begin{equation}x^{3}+10x+8x^{2}+80\end{equation}

17.

Factorize

\begin{equation}14xy-49x^{2}\end{equation}

18.

Factorize

\begin{equation}77x+44\end{equation}

19.

Factorize

\begin{equation}77x^{3}+117x^{2}+54x\end{equation}

20.

Factorize

\begin{equation}2x^{3}-16x\end{equation}

21.

Factorize

\begin{equation}x^{3}-64x\end{equation}

22.

Factorize

\begin{equation}6x^{3}y+6x^{2}y^{2}\end{equation}

23.

Factorize

\begin{equation}8x^{3}-32\end{equation}

24.

Factorize

\begin{equation}(-4)x^{2}y+40xy-24y\end{equation}

25.

Factorize

\begin{equation}5x^{4}+90x^{3}+405x^{2}\end{equation}

26.

Factorize

\begin{equation}x^{3}+10x^{2}-100x-1000\end{equation}

27.

Factorize

\begin{equation}9x^{3}+6x^{2}-9x-6\end{equation}

28.

Factorize

\begin{equation}5x^{2}-36x-288\end{equation}

29.

Factorize

\begin{equation}3x^{6}-162x^{2}\end{equation}

30.

Factorize

\begin{equation}8x^{2}+40\end{equation}

31.

Factorize

\begin{equation}11x^{2}+110x\end{equation}

32.

Factorize

\begin{equation}7x^{5}-45x\end{equation}

33.

Factorize

\begin{equation}9x^{2}-36x-16\end{equation}

34.

Factorize

\begin{equation}72x^{5}+36x^{3}\end{equation}

35.

Factorize

\begin{equation}5x^{2}-35x+10\end{equation}