Algebra-1 Problems

6.6 Factoring: A General Strategy


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}5x(x+9)-11(x+9)\end{equation}

2.

Factorize

\begin{equation}x^{2}(x+5)-6(x+5)\end{equation}

3.

Factorize

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

4.

Factorize

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

5.

Factorize

\begin{equation}x^{2}+14x+49\end{equation}

6.

Factorize

\begin{equation}6x^{4}-196x^{2}\end{equation}

7.

Factorize

\begin{equation}90x^{3}+63x-10x^{2}-7\end{equation}

8.

Factorize

\begin{equation}8x^{4}+50x^{3}+80x^{2}\end{equation}

9.

Factorize

\begin{equation}(-4)x^{2}+324\end{equation}

10.

Factorize

\begin{equation}-245x^{2}-70x-5\end{equation}

11.

Factorize

\begin{equation}49x^{2}-36\end{equation}

12.

Factorize

\begin{equation}121x^{2}-176x+64\end{equation}

13.

Factorize

\begin{equation}8x^{3}-18x^{2}\end{equation}

14.

Factorize

\begin{equation}2x^{3}+22x^{2}+48x\end{equation}

15.

Factorize

\begin{equation}7y-27y^{2}\end{equation}

16.

Factorize

\begin{equation}x^{3}+3x+7x^{2}+21\end{equation}

17.

Factorize

\begin{equation}32xy-28x^{2}\end{equation}

18.

Factorize

\begin{equation}15x+40\end{equation}

19.

Factorize

\begin{equation}9x^{3}+840x^{2}+400x\end{equation}

20.

Factorize

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

21.

Factorize

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

22.

Factorize

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

23.

Factorize

\begin{equation}10x^{3}-80\end{equation}

24.

Factorize

\begin{equation}(-5)x^{2}y+5xy-45y\end{equation}

25.

Factorize

\begin{equation}9x^{4}+30x^{3}+45x^{2}\end{equation}

26.

Factorize

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

27.

Factorize

\begin{equation}10x^{3}+7x^{2}-160x-112\end{equation}

28.

Factorize

\begin{equation}2x^{2}-20x-160\end{equation}

29.

Factorize

\begin{equation}2x^{6}-144x^{2}\end{equation}

30.

Factorize

\begin{equation}8x^{2}+80\end{equation}

31.

Factorize

\begin{equation}7x^{2}+70x\end{equation}

32.

Factorize

\begin{equation}4x^{5}-64x\end{equation}

33.

Factorize

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

34.

Factorize

\begin{equation}9x^{5}+27x^{3}\end{equation}

35.

Factorize

\begin{equation}50x^{2}-10x+80\end{equation}