Question

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

Answer 1

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)

Answer 2

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)