Question 1144103
<br>
{{{x^2-2x+a = (x+3)(x+b)}}}<br>
Expand the expression on the right and combine like terms<br>
{{{x^2-2x+a = x^2+3x+bx+3b}}}
{{{x^2-2x+a= x^2+(b+3)x+3b}}}<br>
The coefficients of the linear terms have to be equal:<br>
{{{b+3 = -2}}} --> {{{b = -5}}}<br>
And the linear terms also have to be equal, so<br>
{{{a = 3b = 3(-5) = -15}}}<br>
ANSWERS: a=-15; b=-5