Algebra-1 Problems

6.6 Factoring: A General Strategy


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}10x(x+7)-11(x+7)\end{equation}

2.

Factorize

\begin{equation}x^{2}(x+5)-11(x+5)\end{equation}

3.

Factorize

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

4.

Factorize

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

5.

Factorize

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

6.

Factorize

\begin{equation}7x^{4}-12x^{2}\end{equation}

7.

Factorize

\begin{equation}66x^{3}+18x-11x^{2}-3\end{equation}

8.

Factorize

\begin{equation}2x^{4}+120x^{3}+320x^{2}\end{equation}

9.

Factorize

\begin{equation}(-11)x^{2}+176\end{equation}

10.

Factorize

\begin{equation}-243x^{2}-54x-3\end{equation}

11.

Factorize

\begin{equation}81x^{2}-49\end{equation}

12.

Factorize

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

13.

Factorize

\begin{equation}110x^{3}-22x^{2}\end{equation}

14.

Factorize

\begin{equation}10x^{3}+44x^{2}+72x\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}4xy-10x^{2}\end{equation}

18.

Factorize

\begin{equation}36x+18\end{equation}

19.

Factorize

\begin{equation}6x^{3}+84x^{2}+120x\end{equation}

20.

Factorize

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

21.

Factorize

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

22.

Factorize

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

23.

Factorize

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

24.

Factorize

\begin{equation}(-3)x^{2}y+3xy-18y\end{equation}

25.

Factorize

\begin{equation}8x^{4}+60x^{3}+90x^{2}\end{equation}

26.

Factorize

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

27.

Factorize

\begin{equation}8x^{3}+3x^{2}-200x-75\end{equation}

28.

Factorize

\begin{equation}11x^{2}-24x-224\end{equation}

29.

Factorize

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

30.

Factorize

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

31.

Factorize

\begin{equation}7x^{2}+56x\end{equation}

32.

Factorize

\begin{equation}11x^{5}-441x\end{equation}

33.

Factorize

\begin{equation}5x^{2}-78x-27\end{equation}

34.

Factorize

\begin{equation}90x^{5}+10x^{3}\end{equation}

35.

Factorize

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