Answer:
see explanation
Step-by-step explanation:
(a)
Given
x² + 5x + 6
Consider the factors of the constant term ( + 6) which sum to give the coefficient of the x- term ( + 5)
The factors are 3 and 2, since
3 × 2 = 6 and 3 + 2 = 5, hence
x² + 5x + 6 = (x + 3)(x + 2) ← in factored form
(b)
To solve
x² + 5x + 6 = 0 ← use the factored form, that is
(x + 3)(x + 2) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x + 2 = 0 ⇒ x = - 2
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Answer:
The maximum is -3
Step-by-step explanation:
A parabola that opens down (- in front), the vertex represents the highest point on the graph, or the maximum value.
The vertex of the equation is (-7,-3)
So, the maximum y value is -3
Answer:
y = - 
Step-by-step explanation:
= 
( cross- multiply )
4y = - 7 ( divide both sides by 4 )
y = -
