a) y = (x + 2)(x + 3) helps find the x-intercepts most efficiently.
b) y= [tex]x^{2} +5x+6[/tex] helps find the y-intercept most efficiently
What is intercepts?
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given that:
a) y= (x+2)(x+3)
i.e., x+2= 0 , x+3 = 0
x= -2 , x= -3
and, y = [tex]x^{2} +5x+6[/tex]
= (x+2)(x+3)
x= -2 and y= -3
y = (x + 2)(x + 3) helps to find the x-intercepts most efficiently
Now,
b) y=(x+2)(x+3)
x =0 , y = 2 x 3 =6
y= [tex]x^{2} +5x+6[/tex]
y= 0 +05 x 0 + 6
y= 6
So, for y-intercept use y= [tex]x^{2} +5x+6[/tex]
Learn more about intercepts here:
https://brainly.com/question/14180189
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