Answer :
Answer:
[tex]1.5x^2+6x+6[/tex]
Step-by-step explanation:
Collect 1.5 from everything, noticing that [tex]6= 1.5\times 4)[/tex]
[tex]1.5(x^2+4x + b^2)[/tex]
Now let's remember that the square of a binomial is [tex](x+b)^2 = x^2+2xb+b^2[/tex], confronting with what we have inside the bracket, [tex]2bx = 4x \implies b=2[/tex]
Our completed bynomial becomes [tex]1.5(x^2+4x+4) = 1.5x^2+6x+6[/tex]
Answer:
1.5x² + 6x + 6
Step-by-step explanation:
1.5x² + 6x + ? = a(x + b)²
a = 1.5
2ab = 6
ab = 3
b = 3/1.5
b = 2
So, inputting all the values :-
a(x + b)²
1.5(x + 2)²
1.5(x² + 4x + 4)
1.5x² + 6x + 6