the area of rectangular table is given by the trinomial x^2+7x-30. what are the possible dimensions of the rectangle? use factoring.
A ) (x+10)and(x-3)
B ) (x-10)and(x-3)
C ) (x+10)and(x+3)
D ) (x-10)and(x+3)
To find the possible dimensions of the rectangle, we need to factor the given trinomial, x^2 + 7x - 30.
The factored form of the trinomial can be written as (x + m)(x + n), where m and n are the possible factors of -30 that add up to 7.
Factors of -30: ±1, ±2, ±3, ±5, ±6, ±10, ±15, ±30
Possible combinations to achieve a sum of 7:
-3 and 10
Therefore, the factored form of x^2 + 7x - 30 is (x - 3)(x + 10).
The possible dimensions of the rectangle are (x - 3) and (x + 10) , so the correct answer is A) (x + 10) and (x - 3).