Which statement justifies that x2 + 3x − 1 multiplied by 2x2 − 2x + 1 obeys the closure property of multiplication?(A)The result 2x4 − 6x2 − 1 has a degree of 4.
(B)The result 2x4 − 6x2 − 1 is a trinomial.
(C) The result 2x4 + 4x3 − 7x2 + 5x − 1 has a degree of 4.
(D)The result 2x4 + 4x3 − 7x2 + 5x − 1 is a polynomial.
Answers
x²(2x² - 2x + 1) + 3x(2x² -2x + 1) -1(2x² - 2x + 1)
2x^4 - 2x³ + x² + 6x³ - 6x² + 3x - 2x² + 2x - 1
2x^4 - 2x³ + 6x³ + x² - 6x² - 2x² + 3x + 2x - 1
2x^4 + 4x³ - 7x² + 5x - 1
(D)The result 2x4 + 4x3 − 7x2 + 5x − 1 is a polynomial.
The statement that justify the product obeys the closure rule is the result 2x⁴ + 4x³ − 7x² + 5x − 1 is a polynomial
What is a polynomial?
A polynomial can have constants, variables and exponents, but never division by a variable.
Therefore, the statement that justify the product obeys the closure rule is as follows
(x² + 3x − 1)(2x² − 2x + 1 )
Hence,
(x² + 3x − 1)(2x² − 2x + 1 ) = 2x⁴ - 2x³ + x² + 6x³ - 6x² + 3x - 2x² + 2x + 1
2x⁴ - 2x³ + x² + 6x³ - 6x² + 3x - 2x² + 2x + 1 = 2x⁴ + 4x³ - 7x² + 5x - 1
Therefore, 2x⁴ + 4x³ - 7x² + 5x - 1 is a polynomial.
learn more on polynomials here: brainly.com/question/9855392
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Answers
(x – 3)(x + 9) = –27
x^2 + 9x - 3x - 27 = -27
x^2 + 6x - 27 + 27 = 0
x^2 + 6x = 0
x * (x + 6) = 0
1. x = 0
2. x = -6
The correct result would be x = 0.
By evaluating the quadraticexpression at each realnumber, we conclude that x = 0 is a solution (root) to (x - 3) · (x + 9) = -27. (Correct choice: C)
How to find the roots of a given polynomic expression
In this question we must find a solution for a polynomicexpression. There are several approaches to find them. Since we have a polynomicexpression as a product of binomials, we can determine the solution by evaluating at each choice:
x = 0
(0 - 3) · (0 + 9) = -27
(-3) · 9 = -27
-27 = -27
By evaluating the quadraticexpression at each realnumber, we conclude that x = 0 is a solution (root) to (x - 3) · (x + 9) = -27. (Correct choice: C)
To learn more on quadratic functions: brainly.com/question/5975436
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Answers
Answers
wide and 120 yards long.
When you draw the diagonal, it divides the field into two right triangles.Each one
has legs with lengths of 120 yards and 53 yards. The diagonal of the field is the
hypotenuse of both right triangles.
(120)² + (53)² = (the hypotenuse)²
14,400 + 2,809 = (the hypotenuse)²
17,209 = (the hypotenuse)²
The diagonal (hypotenuse) = √17,209 = 131.183... yards (rounded)
I guess that's the longest straight line it is possible to run on a football field
while staying in bounds.
True or False
2. t = 9 for 10 ½ = t + 1 ½
True or False
3. k + 2 1/9 = 1 1/3
4. Jose ran 8 ¼ miles to practice for an upcoming marathon. His training goal is to be able to run 15 ¾ miles. Write an equation for the additional amount of miles, m, Jose needs to reach his goal.
5. Solve the equation above for m.
Answers
1.) false
2.) true
3.) k=.7777777
4.) 15 3/4-m=8 1/4
5.) m=7 1/2
I will give brainliest if it’s correct
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Answer :
Explanation :
when we multiply two values in scientific notation with the same base,their powers get added .
2/9=14/n
n=_____
Answers
14÷2/9 = 14/n÷14
63 = n
So, n=63