The perimeter of a rectangular garden is 62 feet( remember, perimeter= 2l + 2w where l is the length and w is the width). The le
1 answer:
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If there are real roots to be found for this polynomial, the Rational Root Theorem and synthetic division are the best way to find them. I teach from a book that uses c and d for the possible roots of the polynomial. C is our constant, 2, and d is the leading coefficient, 1. The factors of 2 are +/- 1 and +/-2. The factors for 1 are +/-1 only. Meaning, in all, there are 4 possibilities as roots for this polynomial. But there are only 3 total (because our polynomial is a third degree), so we have to find the first one, at least, from our possibilities above. Let's try x = -1, factor form (x + 1). If there is no remainder when we do the synthetic division, then -1 is a root. Put -1 outside the "box" and the coefficients from the polynomial inside: -1 (1 2 -1 -2). Bring down the first coefficient of 1 and multiply it by the -1 outside to get -1. Put that -1 up under the 2 and add to get 1. Multiply 1 times the -1 to get -1 and put that -1 up under the -1 and add to get -2. -1 times -2 is 2, and -2 + 2 = 0. So we have our first root of (x+1). The numbers we get when we do the addition along the way are the coefficients of our new polynomial, the depressed polynomial (NOT a sad one cuz it hates math, but a new polynomial that is one degree less than that of which we started!). The new polynomial is 
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Answer:
31 cm
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = h (a + b)
where h is the height and a, b the bases
Here A = 162, h = 6 and a = 23 , then
× 6 (23 + b) = 162
3(23 + b) = 162 ( divide both sides by 3 )
23 + b = 54 ( subtract 23 from both sides )
b = 31
The other base is 31 cm