Algebra-1 Problems

6.6 Factoring: A General Strategy


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}11x(x+7)-11(x+7)\end{equation}

2.

Factorize

\begin{equation}x^{2}(x+3)-5(x+3)\end{equation}

3.

Factorize

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

4.

Factorize

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

5.

Factorize

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

6.

Factorize

\begin{equation}9x^{4}-18x^{2}\end{equation}

7.

Factorize

\begin{equation}48x^{3}+32x-60x^{2}-40\end{equation}

8.

Factorize

\begin{equation}8x^{4}+45x^{3}+70x^{2}\end{equation}

9.

Factorize

\begin{equation}(-6)x^{2}+486\end{equation}

10.

Factorize

\begin{equation}-396x^{2}-132x-11\end{equation}

11.

Factorize

\begin{equation}36x^{2}-100\end{equation}

12.

Factorize

\begin{equation}81x^{2}-162x+81\end{equation}

13.

Factorize

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

14.

Factorize

\begin{equation}6x^{3}+120x^{2}+320x\end{equation}

15.

Factorize

\begin{equation}10y-48y^{2}\end{equation}

16.

Factorize

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

17.

Factorize

\begin{equation}12xy-20x^{2}\end{equation}

18.

Factorize

\begin{equation}21x+3\end{equation}

19.

Factorize

\begin{equation}90x^{3}+160x^{2}+240x\end{equation}

20.

Factorize

\begin{equation}7x^{3}-42x\end{equation}

21.

Factorize

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

22.

Factorize

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

23.

Factorize

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

24.

Factorize

\begin{equation}(-11)x^{2}y+110xy-99y\end{equation}

25.

Factorize

\begin{equation}3x^{4}+126x^{3}+567x^{2}\end{equation}

26.

Factorize

\begin{equation}x^{3}+2x^{2}-4x-8\end{equation}

27.

Factorize

\begin{equation}2x^{3}+5x^{2}-162x-405\end{equation}

28.

Factorize

\begin{equation}3x^{2}-36x-189\end{equation}

29.

Factorize

\begin{equation}3x^{6}-80x^{2}\end{equation}

30.

Factorize

\begin{equation}7x^{2}+42\end{equation}

31.

Factorize

\begin{equation}3x^{2}+15x\end{equation}

32.

Factorize

\begin{equation}3x^{5}-98x\end{equation}

33.

Factorize

\begin{equation}6x^{2}-10\end{equation}

34.

Factorize

\begin{equation}20x^{5}+60x^{3}\end{equation}

35.

Factorize

\begin{equation}4x^{2}-8x+28\end{equation}