Question

factor the trinomial
\[a ^{2}-9a+14\]

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

Answer 1

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

Answer 2

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

Answer 3

yes @DanielM_113 and -2 and -7 @Jhannybean

Answer 4

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

Answer 5

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)

Answer 6

Thank you. :)

Answer 7

no problem ^^

Answer 8

is this one prime?
\[r ^{2}+4r-45\]

Answer 9

What factors of 45 added together give 4?

Answer 10

hint: 9's table

Answer 11

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

Answer 12

Thanks you guys!! :)