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Answer:
Step-by-step explanation:
Given that there are two vectors U = (-8,0,1)
V = (1,3,-3)
To find projection of u on V and also projection of V on U
First let us find the dot product U and V
U.V =
Projection of U on V =
Similarly projection of V on U
=
The expression that is a prime polynomial is:
B. .
A prime polynomial is a polynomial that cannot be factored.
In this problem, item b gives a prime polynomial, as:
- In item a, 3 is a common factor, hence the polynomial can be factored.
- In item c, x is a common factor, hence the polynomial can be factored.
- In item d, the polynomial can be factored according to it's roots.
More can be learned about prime polynomials at brainly.com/question/26388060
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The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
<h3>What is a quadratic equation?</h3>Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have an equation:
x(x + 4) = 6
By distributive property:
x² + 4x = 6
x² + 4x - 6 = 0
a = 1, b = 4, c = -6
Plugging all the values in the formula:
After calculating:
Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
Learn more about quadratic equations here:
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