Your points: (5,2)
Your inequality: x - y < 0
Plug 5 in for x and y in for 2
5 - 2 < 0.
Simplify the left side
3 < 0.
3 is not less than 0
(5,2) is not a solution of x - y < 0
The degree of the polynomial f(x) = 2x(x - 3)³(x + 1)(4x - 2) is 6, and the dominant term is - 216x²
<h3>The degree of the polynomial?</h3>
The polynomial function is given as:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
To determine the degree, we simply add the multiplicities.
So, we have:
Degree = 1 + 3 + 1 + 1
Evaluate
Degree = 6
Hence, the degree of the polynomial is 6
<h3>The dominant term of the polynomial</h3>
We have:
f(x) = 2x(x - 3)³(x + 1)(4x - 2)
Expand
f(x) = 8x⁶ - 68x⁵ + 176x⁴ - 72x³ - 216x² + 108x
The term with the highest absolute value is - 216x²
Hence, the dominant term is - 216x²
Read more about polynomials at:
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Answer:
See below.
Step-by-step explanation:
Part 1.
x + 12 <---------- Quotient.
------------------
x - 4 ( x^2 + 8x + 16
x^2- 4x
------------
12x + 16
12x - 48
----------
64 <--------- Remainder.
Part 2
f(4) = (4)^2 +8(4) + 16 = 16 + 32 + 16
= 64 Which is the remainder we found in the long division.
Part 3.
As you see in Parts 1 and 2, the Remainder Theorem tells you what the remainder is without doing the long division. If the remainder is 0 this means that the binomial you is a factor of the polynomial.
Answer:
2m-4
Step-by-step explanation:
because she has double his amount (2*m) but $4 less therefore 2m-4
