Can someine give me the answer to this please
1 answer:
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Answer:
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Step-by-step explanation:
Given that M is a polynomial of degree 3.
So, it has three zeros.
Let the polynomial be
M(x) =a(x-p)(x-q)(x-r)
The two zeros of the polynomial are -4 and 4i.
Since 4i is a complex number. Then the conjugate of 4i is also a zero of the polynomial i.e -4i.
Then,
M(x)= a{x-(-4)}(x-4i){x-(-4i)}
=a(x+4)(x-4i)(x+4i)
=a(x+4){x²-(4i)²} [ applying the formula (a+b)(a-b)=a²-b²]
=a(x+4)(x²-16i²)
=a(x+4)(x²+16) [∵i² = -1]
=a(x³+4x²+16x+64)
Again given that M(0)= 53.12 . Putting x=0 in the polynomial
53.12 =a(0+4.0+16.0+64)
=0.83
Therefore the required polynomial is
M(x)=0.83(x³+4x²+16x+64)
Step-by-step explanation:
45°, 45°, 90° triangle theorem states that:
Lengths of the sides opposite to the 45° angle are equal to one upon root two times of the length of hypotenuse.
Mathematically it can be expressed as:
Answer:
NO
Step-by-step explanation:
3x + 1 and 3x are different
Step 1: Lets put some numbers instead of x
x = 1
y = 3x + 1
y = 3(1) + 1
y = 4
y = 3x
y = 3(1)
y = 3
SEE IT IS DIFFERENT.
Attached are the graphs
