Answer:
Nothing new about leading coefficient. Definition says it can't be zero. It can always be made equal to one by dividing through.
Constant term cannot be zero unless a root is zero.
Step-by-step explanation:
x-3/4 = 0 has root 3/4 constant term -3/4
(x-3/4)(x-b) = 0 has roots 3/4 and b, constant term 3b/4 which is zero only if b is zero.
(x-3/4)(x-b)(x-c) = 0 has roots 3/4, b, c, constant term -3bc/4 which is zero only if b or c is zero.
Etc. ...
<span>Let the width of the rectangular plot of land be 'x' yards.
Given that the length of the rectangular plot of land is 10 yards more than its width.
So, width of the rectangular plot of land = (x + 10) yards.
Also given that the area of the rectangular plot of land is 600 square yards.
We know that, area of a rectangle = length * width
That is, (x+10) * x = 600
x^2 + 10x = 600
x^2 + 10x - 600 = 0
x^2 + 30x - 20x -600 = 0
x(x + 30) - 20(x + 30) = 0
(x +30)(x -20) =0
Therefore, either (x + 30) = 0 or (x - 20) = 0
If x + 30 = 0, then x = -30 and
If x - 20 = 0, then x = 20
Since 'x' represents the width of a rectangular plot of land it cannot be negative.
Therefore,
width of the rectangular plot of land = 20 yards
length of the rectangular plot of land= x + 10 = 30 yards</span>
Answer:
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