Answer:
- 5(x +1.5)^2
- 10(x +1)^2
- 1/4(x +2)^2
- 3(x +5/6)^2
Step-by-step explanation:
When your desired form is expanded, it becomes ...
a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2
This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.
a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2
b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2
c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2
d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2
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<em>Additional comment</em>
If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.
Answer:
( 35+9=44)
Step-by-step explanation:
Answer:
See below in bold.
Step-by-step explanation:
The y -intercept is when x = 0 so
it is 4 - 0 = 4
That is (0, 4)
For the x intercept g(x) = 0 so
4 - x = 0
x = 4.
x -intercept is at (4,0).
-8x+7-6(x-1)=-6x-(7x-5)+6
-8x+7-6x+6=-6x-7x+5+6
use gemdas to add like terms
-14x+13=-13x+11
+14x. +14x
13= x+11
-11 -11
2=x
Answer:
0 and 3.5
Step-by-step explanation:
