Can you Solve. 3x^2+10x+3

You cannot solve for x but you can factor

to solve in ax^2+bx+c form you must find

b=x+y

a times c=x times y

so solve

3 times 3=9

what 2 number multily to get 9 and add to get 10

9=x times y

the numbers are 9 and 1 so

3x^2+1x+9x+3

(3x^2+1x) + (9x+3)

factor

(x) (3x+1) + (3) (3x+1)

reverse distribute

ab+ac=a (b+c)

(x) (3x+1) + (3) (3x+1) = (x+3) (3x+1)

factored out form is (x+3) (3x+1)

Simplifying

3x^2 + 10x + 3

Reorder the terms

3 + 10x + 3x^2

Factor a trinomial

(3 + x) (1 + 3x)

Final result

(3 + x) (1 + 3x)