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Solving for L:
P = 2L + 2W
P - 2W = 2L
(P - 2W) / 2 = L
L = (P - 2W) / 2
Answer:
-2, -1, -1, 1/3
Step-by-step explanation:
A graphing calculator can find the real roots of a polynomial pretty easily. The attached graph of this function shows its zeros to be ...
-2, -1, -1, 1/3
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The rational root theorem tells you that rational roots will be from the set ...
{±1/3, ±2/3, ±1, ±2}
Descarte's rule of signs tells you there will be 1 positive real root. The sum of coefficients is 24 (a relatively large positive number), so it is certain the positive root will be less than 1.
The sum of coefficients of odd-degree terms (11+1) is equal to the sum of coefficients of even-degree terms (3+11-2), telling you that -1 is a root. Synthetic division gives the cubic factor as 3x³ +8x² +3x -2, which has the same characteristics as the original quartic. That is, there is one positive real root, and -1 is a root of the cubic (hence a double root of f(x)).
Another round of synthetic division reveals the quadratic factor to be 3x² +5x -2, which can be factored as (x +2)(3x -1) to reveal the remaining roots.
9+3×2
=9+6
=15
By applying BODMAS formula,the answer is 15.
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tereso536
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Answer:
The Product Sum method of factoring we use on trinomials (ax2+bx+c) with the value of a=1. This is the method that is probably used the most.
example: x2+7x+12 The product is the a value times the c value. In this case 12.
The sum is the b value. In this case 7.
Find the two numbers that multiply to 12 (the product) andadd to 7 (the sum). +4 and +3
These are your two factors. In your two binomials put the x in front and the factors in the back. (x+4)(x+3)
This is your factored expression. To check FOIL back out.
Why does this work???
example:
x2-4x-12
p= -12
s= -4 factors are -6 and +2
so factored answer is (x-6)(x+2)
example:
I'm thinking of a number that could be solved by x2+10x+16=0. What could the number be?
p=16
s=10 factors are +8 and +2
(x+8)(x+2)=0
so either x+8=0 or x+2=0 so either x= -8 or -2 is the
number.