Let f(x)= y = x3 - 6x2 + 11x - 6
X intercept means a point on the graph which intercepts the x axis
And Y-intercept mean a point on the graph which intercepts the y axis
Meaning at the x intercept the component of y is zero because there is no y on the x axis
And at the y intercept the x component of the coordinate is zero because on the y axis there is no x value
So in finding the y intercept of the graph wherever u see x place zero there (ie x= 0 on the y axis)
So with x = 0
y = (0)3- 6(0)2 + 11(0) - 6
y = -6
Therefore the y intercept is (0,-6) in coordinate form or -6
X-intercept
y = x3 - 6x2 + 11x - 6
After factorization and simplification
y = (x-1)(x-2)(x-3)
On the x axis y= 0
0= (x-1)(x-2)(x-3)
Either x-1=0
x=1
(1,0)
Or x-2=0
x=2
(2,0)
Or x-3=0
x=3 (3,0)
Therefore the x intercepts are 1,2 and 3
And they are expressed in coordinate form as (1,0) ,(2,0) and
(3,0)
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Answer:
x^3 -14x^2 -6
Step-by-step explanation:
Your expression is the difference of two polynomials. The parentheses can be removed by using the distributive property. The minus sign outside the second set of parentheses applies to each term inside parentheses.
-5x^2 +3 +x^3 -9x^2 -9
Now, you can group like terms. In "standard form", the degrees of the terms decrease from left to right.
x^3 +(-5x^2 -9x^2) +(3 -9)
And combine like terms.
x^3 -14x^2 -6 . . . . . simplified form of the given expression
Finding the perimeter of polygons. Finding the area of rectangles. Finding the equation of a circle.
It would take 9 seconds.
Substituting the values into the equation, we have:
0 = -16t² + 138t + 55
The quadratic formula is:
Inserting our information we have:
