Algebra-1 Problems

6.6 Factoring: A General Strategy


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}4x(x+2)-8(x+2)\end{equation}

2.

Factorize

\begin{equation}x^{2}(x+1)-3(x+1)\end{equation}

3.

Factorize

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

4.

Factorize

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

5.

Factorize

\begin{equation}x^{2}+18x+81\end{equation}

6.

Factorize

\begin{equation}6x^{4}-45x^{2}\end{equation}

7.

Factorize

\begin{equation}88x^{3}+80x-33x^{2}-30\end{equation}

8.

Factorize

\begin{equation}6x^{4}+100x^{3}+160x^{2}\end{equation}

9.

Factorize

\begin{equation}(-2)x^{2}+32\end{equation}

10.

Factorize

\begin{equation}-112x^{2}-56x-7\end{equation}

11.

Factorize

\begin{equation}100x^{2}-16\end{equation}

12.

Factorize

\begin{equation}4x^{2}-20x+25\end{equation}

13.

Factorize

\begin{equation}48x^{3}-36x^{2}\end{equation}

14.

Factorize

\begin{equation}8x^{3}+100x^{2}+160x\end{equation}

15.

Factorize

\begin{equation}6y-18y^{2}\end{equation}

16.

Factorize

\begin{equation}x^{3}+5x+7x^{2}+35\end{equation}

17.

Factorize

\begin{equation}30xy-60x^{2}\end{equation}

18.

Factorize

\begin{equation}40x+72\end{equation}

19.

Factorize

\begin{equation}24x^{3}+98x^{2}+84x\end{equation}

20.

Factorize

\begin{equation}5x^{3}-40x\end{equation}

21.

Factorize

\begin{equation}x^{3}-81x\end{equation}

22.

Factorize

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

23.

Factorize

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

24.

Factorize

\begin{equation}(-8)x^{2}y+32xy-24y\end{equation}

25.

Factorize

\begin{equation}4x^{4}+40x^{3}+80x^{2}\end{equation}

26.

Factorize

\begin{equation}x^{3}+8x^{2}-64x-512\end{equation}

27.

Factorize

\begin{equation}9x^{3}+6x^{2}-441x-294\end{equation}

28.

Factorize

\begin{equation}8x^{2}-42x-189\end{equation}

29.

Factorize

\begin{equation}4x^{6}-162x^{2}\end{equation}

30.

Factorize

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

31.

Factorize

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

32.

Factorize

\begin{equation}6x^{5}-324x\end{equation}

33.

Factorize

\begin{equation}4x^{2}-5x-18\end{equation}

34.

Factorize

\begin{equation}4x^{5}+28x^{3}\end{equation}

35.

Factorize

\begin{equation}54x^{2}-42x+54\end{equation}