Algebra-1 Problems

6.6 Factoring: A General Strategy


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}7x(x+6)-10(x+6)\end{equation}

2.

Factorize

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

3.

Factorize

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

4.

Factorize

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

5.

Factorize

\begin{equation}x^{2}+16x+64\end{equation}

6.

Factorize

\begin{equation}3x^{4}-5x^{2}\end{equation}

7.

Factorize

\begin{equation}6x^{3}+12x-20x^{2}-40\end{equation}

8.

Factorize

\begin{equation}9x^{4}+65x^{3}+180x^{2}\end{equation}

9.

Factorize

\begin{equation}(-8)x^{2}+72\end{equation}

10.

Factorize

\begin{equation}-72x^{2}-48x-8\end{equation}

11.

Factorize

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

12.

Factorize

\begin{equation}9x^{2}-54x+81\end{equation}

13.

Factorize

\begin{equation}18x^{3}-6x^{2}\end{equation}

14.

Factorize

\begin{equation}8x^{3}+60x^{2}+126x\end{equation}

15.

Factorize

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

16.

Factorize

\begin{equation}x^{3}+2x+9x^{2}+18\end{equation}

17.

Factorize

\begin{equation}60xy-110x^{2}\end{equation}

18.

Factorize

\begin{equation}40x+32\end{equation}

19.

Factorize

\begin{equation}33x^{3}+186x^{2}+72x\end{equation}

20.

Factorize

\begin{equation}10x^{3}-10x\end{equation}

21.

Factorize

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

22.

Factorize

\begin{equation}7x^{3}y+7x^{2}y^{2}\end{equation}

23.

Factorize

\begin{equation}4x^{3}-32\end{equation}

24.

Factorize

\begin{equation}(-5)x^{2}y+10xy-5y\end{equation}

25.

Factorize

\begin{equation}4x^{4}+48x^{3}+72x^{2}\end{equation}

26.

Factorize

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

27.

Factorize

\begin{equation}8x^{3}+9x^{2}-128x-144\end{equation}

28.

Factorize

\begin{equation}3x^{2}-12x-32\end{equation}

29.

Factorize

\begin{equation}4x^{6}-324x^{2}\end{equation}

30.

Factorize

\begin{equation}6x^{2}+12\end{equation}

31.

Factorize

\begin{equation}5x^{2}+30x\end{equation}

32.

Factorize

\begin{equation}7x^{5}-20x\end{equation}

33.

Factorize

\begin{equation}4x^{2}-9x-54\end{equation}

34.

Factorize

\begin{equation}9x^{5}+81x^{3}\end{equation}

35.

Factorize

\begin{equation}6x^{2}-42x+42\end{equation}