7.2 Factor quadratic trinomials with leading coefficient 1  (Page 3/3)

$x^2+4x+3$

$y^2+8y+7$

$m^2+12m+11$

$b^2+14b+13$

$a^2+9a+20$

$m^2+7m+12$

$p^2+11p+30$

$w^2+10x+21$

$n^2+19n+48$

$b^2+14b+48$

$a^2+25a+100$

$u^2+101u+100$

$x^2-8x+12$

$q^2-13q+36$

$y^2-18x+45$

$m^2-13m+30$

$x^2-8x+7$

$y^2-5y+6$

$p^2+5p-6$

$n^2+6n-7$

$y^2-6y-7$

$v^2-2v-3$

$x^2-x-12$

$r^2-2r-8$

$a^2-3a-28$

$b^2-13b-30$

$w^2-5w-36$

$t^2-3t-54$

$x^2+x+5$

$x^2-3x-9$

$8-6x+x^2$

$7x+x^2+6$

$x^2-12-11x$

$\mathrm{-11}-10x+x^2$

$p^2+3pq+2q^2$

$m^2+6mn+5n^2$

$r^2+15rs+36s^2$

$u^2+10uv+24v^2$

$m^2-12mn+20n^2$

$p^2-16pq+63q^2$

$x^2-2xy-80y^2$

$p^2-8pq-65q^2$

$m^2-64mn-65n^2$

$p^2-2pq-35q^2$

$a^2+5ab-24b^2$

$r^2+3rs-28s^2$

$x^2-3xy-14y^2$

$u^2-8uv-24v^2$

$m^2-5mn+30n^2$

$c^2-7cd+18d^2$

$u^2-12u+36$

$w^2+4w-32$

$x^2-14x-32$

$y^2+41y+40$

$r^2-20rs+64s^2$

$x^2-16xy+64y^2$

$k^2+34k+120$

$m^2+29m+120$

$y^2+10y+15$

$z^2-3z+28$

$m^2+mn-56n^2$

$q^2-29qr-96r^2$

$u^2-17uv+30v^2$

$m^2-31mn+30n^2$

$c^2-8cd+26d^2$

$r^2+11rs+36s^2$

Consecutive integers Deirdre is thinking of two consecutive integers whose product is 56. The trinomial $x^2+x-56$ describes how these numbers are related. Factor the trinomial.

Consecutive integers Deshawn is thinking of two consecutive integers whose product is 182. The trinomial $x^2+x-182$ describes how these numbers are related. Factor the trinomial.

Many trinomials of the form $x^2+bx+c$ factor into the product of two binomials $(x+m)(x+n)$ . Explain how you find the values of m and n .

How do you determine whether to use plus or minus signs in the binomial factors of a trinomial of the form $x^2+bx+c$ where $b$ and $c$ may be positive or negative numbers?

Will factored $x^2-x-20$ as $(x+5)(x-4)$ . Bill factored it as $(x+4)(x-5)$ . Phil factored it as $(x-5)(x-4)$ . Who is correct? Explain why the other two are wrong.

Look at [link] , where we factored $y^2+17y+60$ . We made a table listing all pairs of factors of 60 and their sums. Do you find this kind of table helpful? Why or why not?