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Answer:
The equation in standard form that models area of pumpkins is:
and the area is:
Step-by-step explanation:
Given that the garden has corn and pumpkins
The expressions are:
Total area of garden:
Area of Corn:
Area of Pumpkins:
The sum of areas of corn and pumpkins is the total area of the garden.
It can be expressed mathematically as:
If we have to find the area of pumpkins,
Putting the values
The equation in standard form that models area of pumpkins is:
and the area is:
Louise wants to factorize completely the given polynomial
Grouping first, second terms together and third, fourth terms together
=
Taking common from first and second terms of the given expression and taking 5 common from the third and fourth terms.
=
Taking (x+3) common from the given expression,
= is the completely factored form.