7.3 Factor quadratic trinomials with leading coefficient other than  (Page 5/6)

1. ⓐ $10q^2+50$
2. ⓑ $a^2-5a-14$
3. ⓒ $uv+2u+3v+6$

1. ⓐ $n^2+10n+24$
2. ⓑ $8u^2+16$
3. ⓒ $pq+5p+2q+10$

1. ⓐ $x^2+4x-21$
2. ⓑ $ab+10b+4a+40$
3. ⓒ $6c^2+24$

1. ⓐ $20x^2+100$
2. ⓑ $uv+6u+4v+24$
3. ⓒ $y^2-8y+15$

$5x^2+35x+30$

$12s^2+24s+12$

$2z^2-2z-24$

$3u^2-12u-36$

$7v^2-63v+56$

$5w^2-30w+45$

$p^3-8p^2-20p$

$q^3-5q^2-24q$

$3m^3-21m^2+30m$

$11n^3-55n^2+44n$

$5x^4+10x^3-75x^2$

$6y^4+12y^3-48y^2$

$2t^2+7t+5$

$5y^2+16y+11$

$11x^2+34x+3$

$7b^2+50b+7$

$4w^2-5w+1$

$5x^2-17x+6$

$6p^2-19p+10$

$21m^2-29m+10$

$4q^2-7q-2$

$10y^2-53y-11$

$4p^2+17p-15$

$6u^2+5u-14$

$16x^2-32x+16$

$81a^2+153a-18$

$30q^3+140q^2+80q$

$5y^3+30y^2-35y$

$5n^2+21n+4$

$8w^2+25w+3$

$9z^2+15z+4$

$3m^2+26m+48$

$4k^2-16k+15$

$4q^2-9q+5$

$5s^2-9s+4$

$4r^2-20r+25$

$6y^2+y-15$

$6p^2+p-22$

$2n^2-27n-45$

$12z^2-41z-11$

$3x^2+5x+4$

$4y^2+15y+6$

$60y^2+290y-50$

$6u^2-46u-16$

$48z^3-102z^2-45z$

$90n^3+42n^2-216n$

$16s^2+40s+24$

$24p^2+160p+96$

$48y^2+12y-36$

$30x^2+105x-60$

$12y^2-29y+14$

$12x^2+36y-24z$

$a^2-a-20$

$m^2-m-12$

$6n^2+5n-4$

$12y^2-37y+21$

$2p^2+4p+3$

$3q^2+6q+2$

$13z^2+39z-26$

$5r^2+25r+30$

$x^2+3x-28$

$6u^2+7u-5$

$3p^2+21p$

$7x^2-21x$

$6r^2+30r+36$

$18m^2+15m+3$

$24n^2+20n+4$

$4a^2+5a+2$

$x^2+2x-24$

$2b^2-7b+4$

Height of a toy rocket 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 $\mathrm{-16}{t}^2+80t+96$ . Completely factor the trinomial.

Height of a beach ball 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 $\mathrm{-16}{t}^2+12t+4$ . Completely factor the trinomial.

List, in order, all the steps you take when using the “ac” method to factor a trinomial of the form $a{x}^2+bx+c.$

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

What are the questions, in order, that you ask yourself as you start to factor a polynomial? What do you need to do as a result of the answer to each question?

On your paper draw the chart that summarizes the factoring strategy. Try to do it without looking at the book. When you are done, look back at the book to finish it or verify it.