Consider the polynomial P(x)=x³+kx²+x+6.Find the value of k so that x+1 is a factor of P.
1 answer:
Answer:
The value of k will be -4
Step-by-step explanation:
We have given polynomial
It is given that x+1 is factor of the polynomial
And we have to find the value of k
As x+1 is the factor of polynomial so x+1 = 0 that is x = -1 will be the root of polynomial
So if we put x = -1 in the polynomial then the p(-1) will be zero
So
So the value of k will be -4
You might be interested in
Answer:
96 ft²
Step-by-step explanation:
The general formula for the surface area of a pyramid is:
SA = pl + B, were p = the perimeter of the base, l = the slant height and B = the area of the base
Since the area of the base is 36 ft², then each side is √36, or 6 ft. The perimeter is the sum of all the sides, so 6 x 4 = 24 ft.
Given the overall height of the pyramid is 4 feet, you can use the Pythagorean Theorem (a² + b² = c²) to find the slant height (hypotenuse) of the pyramid. Using 3 feet for 'a' and 4 feet for 'b':
3² + 4² = c² or 9 + 16 = 25
25 = c² or c = 5
SA = (24)(5) + 36
SA = 60 + 36 = 96 ft²
Answer:
Therefore, the solutions of the quadratic equations are:
The graph is also attached.
Step-by-step explanation:
The solution of the graph could be obtained by finding the x-intercept.
Finding the x-intercept by substituting the value y = 0
so
∵ y = 0
So, when y = 0, then x values are 3, and 5.
Therefore, the solutions of the quadratic equations are:
The graph is also attached. As the graph is a Parabola. It is visible from the graph that the values of y = 0 at x = 5 and x = 3. As the graph is a Parabola.
