Chapter 7

Factor. \(6 u^{2}+5 u-14\)

Factor. \(16 x^{2}-32 x+16\)

Factor. \(30 q^{3}+140 q^{2}+80 q\)

Factor. \(5 y^{3}+30 y^{2}-35 y\)

Factor. \(5 n^{2}+21 n+4\)

Factor. \(8 w^{2}+25 w+3\)

Factor. \(9 z^{2}+15 z+4\)

Factor. \(3 m^{2}+26 m+48\)

Factor. \(4 k^{2}-16 k+15\)

Factor. \(5 s^{2}-9 s+4\)

Factor. \(4 r^{2}-20 r+25\)

Factor. \(6 y^{2}+y-15\)

Factor. \(6 p^{2}+p-22\)

Factor. \(2 n^{2}-27 n-45\)

Factor. \(12 z^{2}-41 z-11\)

Factor. \(4 y^{2}+15 y+6\)

Factor. \(48 z^{3}-102 z^{2}-45 z\)

Factor. \(90 n^{3}+42 n^{2}-216 n\)

Factor. \(16 s^{2}+40 s+24\)

Factor. \(24 p^{2}+160 p+96\)

Factor. \(12 y^{2}-29 y+14\)

Factor. \(12 x^{2}+36 y-24 z\)

Factor. \(a^{2}-a-20\)

Factor. \(m^{2}-m-12\)

Factor. \(6 n^{2}+5 n-4\)

Factor. \(12 y^{2}-37 y+21\)

Factor. \(2 p^{2}+4 p+3\)

Factor. \(3 q^{2}+6 q+2\)

Factor. \(13 z^{2}+39 z-26\)

Factor. \(5 r^{2}+25 r+30\)

Factor. \(x^{2}+3 x-28\)

Factor. \(6 u^{2}+7 u-5\)

Factor. \(3 p^{2}+21 p\)

Factor. \(7 x^{2}-21 x\)

Factor. \(6 r^{2}+30 r+36\)

Factor. \(18 m^{2}+15 m+3\)

Factor. \(24 n^{2}+20 n+4\)

Factor. \(4 a^{2}+5 a+2\)

Factor. \(x^{2}+2 x-24\)

Factor. \(2 b^{2}-7 b+4\)

The height of a toy rocket launched with an initial speed of 80 feet per second from the balcony of an apartment building is related to the number of seconds, \(t,\) since it is launched by the trinomial \(-16 t^{2}+80 t+96\). Completely factor the trinomial.

The height of a beach ball tossed up with an initial speed of 12 feet per second from a height of 4 feet is related to the number of seconds, \(t,\) since it is tossed by the trinomial \(-16 t^{2}+12 t+4\). Completely factor the trinomial.

How is the "ac" method similar to the "undo FOIL" method? How is it different?

Factor. \(16 y^{2}+24 y+9\)

Factor. \(25 v^{2}+20 v+4\)

Factor. \(36 s^{2}+84 s+49\)

Factor. \(49 s^{2}+154 s+121\)

Factor. \(100 x^{2}-20 x+1\)

Factor. \(64 z^{2}-16 z+1\)

Factor. \(25 n^{2}-120 n+144\)