factor the trinomial
$$a ^{2}-9a+14$$

@Jhannybean @mxolisi3903 Either of you two wanna help me with my trinomials? :)

Question

factor the trinomial
$$a ^{2}-9a+14$$

@Jhannybean @mxolisi3903   Either of you two wanna help me with my trinomials? :)

jhannybean · Answer

what two numbers multiply to give 14 and add to give -9?

anonymous · Answer

do you remember the factorials?
$$(a+b)^2\
(a-b)^2 \
(a+b)(a-b)
$$

anonymous · Answer

yes @DanielM_113 and -2 and -7 @Jhannybean

jhannybean · Answer

ok,so you have -2 and -7, you want +14 but -9, so... $$\large a^2-9a+14$$$$\large (a-2)(a-7)$$

anonymous · Answer

I shall give you an easy way to solve these problems. Take the 14. Which factors of 14 add up to -9? Well -7 and -2. There you go, the answer is (a-2)(a-7)

anonymous · Answer

Thank you.  :)

jhannybean · Answer

no problem ^^

anonymous · Answer

is this one prime?
$$r ^{2}+4r-45$$

anonymous · Answer

What factors of 45 added together give 4?

jhannybean · Answer

hint: 9's table

anonymous · Answer

-9 and 5.  I got this one then.  Thank you

jhannybean · Answer

Thanks you guys!! :)