Please help with this!

Factorize: x^2+8x+10 i just solved it but i don't know if the process is correct

Read the following two statements. then use the law of syllogism to draw a conclusion. if the tv is too loud, then it will give me a headache. if i have a headache, then i will have to rest.

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0 0 cannot be determined 1 2