Algebra-1 Problems

6.6 Factoring: A General Strategy


Problem #

Problem Statement

Problems Similar To

1.

Factorize

\begin{equation}4x(x+5)-6(x+5)\end{equation}

2.

Factorize

\begin{equation}x^{2}(x+1)-4(x+1)\end{equation}

3.

Factorize

\begin{equation}y(10+x)-(x+10)\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}8x^{4}-10x^{2}\end{equation}

7.

Factorize

\begin{equation}66x^{3}+36x-22x^{2}-12\end{equation}

8.

Factorize

\begin{equation}6x^{4}+39x^{3}+108x^{2}\end{equation}

9.

Factorize

\begin{equation}(-5)x^{2}+20\end{equation}

10.

Factorize

\begin{equation}-196x^{2}-56x-4\end{equation}

11.

Factorize

\begin{equation}121x^{2}-100\end{equation}

12.

Factorize

\begin{equation}16x^{2}-32x+16\end{equation}

13.

Factorize

\begin{equation}24x^{3}-80x^{2}\end{equation}

14.

Factorize

\begin{equation}3x^{3}+90x^{2}+189x\end{equation}

15.

Factorize

\begin{equation}10y-12y^{2}\end{equation}

16.

Factorize

\begin{equation}x^{3}+3x+9x^{2}+27\end{equation}

17.

Factorize

\begin{equation}45xy-99x^{2}\end{equation}

18.

Factorize

\begin{equation}30x+10\end{equation}

19.

Factorize

\begin{equation}45x^{3}+147x^{2}+28x\end{equation}

20.

Factorize

\begin{equation}4x^{3}-28x\end{equation}

21.

Factorize

\begin{equation}x^{3}-25x\end{equation}

22.

Factorize

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

23.

Factorize

\begin{equation}10x^{3}-90\end{equation}

24.

Factorize

\begin{equation}(-9)x^{2}y+54xy-45y\end{equation}

25.

Factorize

\begin{equation}11x^{4}+20x^{3}+10x^{2}\end{equation}

26.

Factorize

\begin{equation}x^{3}+4x^{2}-16x-64\end{equation}

27.

Factorize

\begin{equation}9x^{3}+2x^{2}-225x-50\end{equation}

28.

Factorize

\begin{equation}3x^{2}-10x-48\end{equation}

29.

Factorize

\begin{equation}4x^{6}-8x^{2}\end{equation}

30.

Factorize

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

31.

Factorize

\begin{equation}5x^{2}+15x\end{equation}

32.

Factorize

\begin{equation}7x^{5}-90x\end{equation}

33.

Factorize

\begin{equation}11x^{2}-41x-42\end{equation}

34.

Factorize

\begin{equation}60x^{5}+80x^{3}\end{equation}

35.

Factorize

\begin{equation}12x^{2}-27x+18\end{equation}