Question

Rewrite in factored form: t^2-3t+10

Answer 1

can't be factored

Explanation:

remember the method of factoring

1. Find two numbers that multiply to give ac and add to give b.
2. Rewrite the middle with those numbers
3. Factor the first two and last two terms separately

let's try to do the first step

• ac=10×1=10

to figure out b we two factor of 10 that add up to -3

factor of 10:

• 1,2,5

likewise

• -1,-2,-5

as you can see there's no factor that add up to -3 and multiply to give 10

hence,

the expression can't be factored