Algebra-1 Problems

6.6 Factoring: A General Strategy


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}5x(x+10)-3(x+10)\end{equation}

2.

Factorize

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

3.

Factorize

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

4.

Factorize

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

5.

Factorize

\begin{equation}x^{2}+2x+1\end{equation}

6.

Factorize

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

7.

Factorize

\begin{equation}24x^{3}+42x-24x^{2}-42\end{equation}

8.

Factorize

\begin{equation}8x^{4}+110x^{3}+180x^{2}\end{equation}

9.

Factorize

\begin{equation}(-8)x^{2}+200\end{equation}

10.

Factorize

\begin{equation}-1089x^{2}-198x-9\end{equation}

11.

Factorize

\begin{equation}9x^{2}-49\end{equation}

12.

Factorize

\begin{equation}9x^{2}-12x+4\end{equation}

13.

Factorize

\begin{equation}35x^{3}-30x^{2}\end{equation}

14.

Factorize

\begin{equation}11x^{3}+52x^{2}+144x\end{equation}

15.

Factorize

\begin{equation}5y-70y^{2}\end{equation}

16.

Factorize

\begin{equation}x^{3}+6x+7x^{2}+42\end{equation}

17.

Factorize

\begin{equation}18xy-15x^{2}\end{equation}

18.

Factorize

\begin{equation}18x+6\end{equation}

19.

Factorize

\begin{equation}22x^{3}+80x^{2}+150x\end{equation}

20.

Factorize

\begin{equation}11x^{3}-55x\end{equation}

21.

Factorize

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

22.

Factorize

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

23.

Factorize

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

24.

Factorize

\begin{equation}(-9)x^{2}y+45xy-45y\end{equation}

25.

Factorize

\begin{equation}5x^{4}+160x^{3}+800x^{2}\end{equation}

26.

Factorize

\begin{equation}x^{3}+5x^{2}-25x-125\end{equation}

27.

Factorize

\begin{equation}9x^{3}+5x^{2}-225x-125\end{equation}

28.

Factorize

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

29.

Factorize

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

30.

Factorize

\begin{equation}11x^{2}+55\end{equation}

31.

Factorize

\begin{equation}6x^{2}+54x\end{equation}

32.

Factorize

\begin{equation}7x^{5}-294x\end{equation}

33.

Factorize

\begin{equation}10x^{2}-45x-50\end{equation}

34.

Factorize

\begin{equation}24x^{5}+9x^{3}\end{equation}

35.

Factorize

\begin{equation}45x^{2}-30x+30\end{equation}