The factored form of the given quadratic equation is (3x+5)(3x+2).
The given quadratic equation is:
[tex]9x^{2} +21x+10[/tex]
Any equation of the form [tex]ax^{2} +bx+c=0[/tex] is called a quadratic equation where [tex]a\neq 0[/tex].
Splitting the middle term of the given quadratic equation:
[tex]9x^{2} +15x+6x+10[/tex]
[tex]3x(3x+5)+2(3x+5)[/tex]
[tex](3x+5)(3x+2)[/tex]
So this is the factored form of the given quadratic equation.
Hence, the factored form of the given quadratic equation is (3x+5)(3x+2).
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