The quadratic factors of the given expression are (3x + 5) and (5x + 9).
SOLUTION:
Given, quadratic equation is 15x squared + 52x + 45 [tex]\bold{\rightarrow 15 x^{2}+52 x+45}[/tex]
We have to find the quadratic factors for the given quadratic expression.
Now, let us factorize the given expression.
[tex]\begin{array}{l}\bold{\rightarrow 15 x^{2}+52 x+45} \\\\ \bold{\rightarrow 15 x^{2}+25 x+27 x+45} \\\\ \text{ (where 52x can be represented as the sum of 25x and 27x)} \\\\ \text{ Taking the common factors out of the braces } \\\\ \bold{\rightarrow 5 x(3 x+5)+9(3 x+5)} \\\\ \bold{\rightarrow(3 x+5)(5 x+9)}\end{array}[/tex]
Hence, the quadratic factors are (3x + 5) and (5x + 9).
Steps to factorise quadratic equation:
With the quadratic equation in this form: [tex]a x^{2}+b x+c=0[/tex]
