Algebra-1 Problems

6.6 Factoring: A General Strategy


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}8x(x+1)-6(x+1)\end{equation}

2.

Factorize

\begin{equation}x^{2}(x+8)-8(x+8)\end{equation}

3.

Factorize

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

4.

Factorize

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

5.

Factorize

\begin{equation}x^{2}+14x+49\end{equation}

6.

Factorize

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

7.

Factorize

\begin{equation}8x^{3}+28x-20x^{2}-70\end{equation}

8.

Factorize

\begin{equation}7x^{4}+55x^{3}+90x^{2}\end{equation}

9.

Factorize

\begin{equation}(-7)x^{2}+700\end{equation}

10.

Factorize

\begin{equation}-32x^{2}-16x-2\end{equation}

11.

Factorize

\begin{equation}81x^{2}-1\end{equation}

12.

Factorize

\begin{equation}25x^{2}-50x+25\end{equation}

13.

Factorize

\begin{equation}54x^{3}-24x^{2}\end{equation}

14.

Factorize

\begin{equation}2x^{3}+99x^{2}+252x\end{equation}

15.

Factorize

\begin{equation}9y-3y^{2}\end{equation}

16.

Factorize

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

17.

Factorize

\begin{equation}54xy-45x^{2}\end{equation}

18.

Factorize

\begin{equation}20x+16\end{equation}

19.

Factorize

\begin{equation}18x^{3}+96x^{2}+160x\end{equation}

20.

Factorize

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

21.

Factorize

\begin{equation}x^{3}-100x\end{equation}

22.

Factorize

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

23.

Factorize

\begin{equation}4x^{3}-16\end{equation}

24.

Factorize

\begin{equation}(-11)x^{2}y+99xy-99y\end{equation}

25.

Factorize

\begin{equation}7x^{4}+24x^{3}+36x^{2}\end{equation}

26.

Factorize

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

27.

Factorize

\begin{equation}2x^{3}+9x^{2}-200x-900\end{equation}

28.

Factorize

\begin{equation}6x^{2}-12x-63\end{equation}

29.

Factorize

\begin{equation}4x^{6}-243x^{2}\end{equation}

30.

Factorize

\begin{equation}3x^{2}+30\end{equation}

31.

Factorize

\begin{equation}4x^{2}+12x\end{equation}

32.

Factorize

\begin{equation}2x^{5}-72x\end{equation}

33.

Factorize

\begin{equation}4x^{2}-57x-30\end{equation}

34.

Factorize

\begin{equation}72x^{5}+63x^{3}\end{equation}

35.

Factorize

\begin{equation}49x^{2}-63x+70\end{equation}