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3 years ago

For f(x)=5x+1. Find f(-4)

Mathematics

1 answer:

Luba_88 [7]3 years ago

4 0

Answer:

-19

Step-by-step explanation:

f(x)=5x+1

F(-4) - substitute -4 as the x

F(-4)=5(-4)+1

F(-4) = -20 + 1

f(-4) = -19

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Multiplication in GF(24 ): Compute A(x)B(x) mod P(x) in GF(24 ) using the irreducible polynomial P(x) = x 4 + x + 1, where A(x)

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Step-by-step explanation:

hello,

i advice you check the question again if it is GF( $2^{4}$ ) or GF(24). i believe the question should rather be in this form;

multiplication in GF( $2^{4}$ ): Compute A(x)B(x) mod P(x) = $x^{4}$ + $x$ +1, where A(x)= $x^{2}$ +1, and B(x)= $x^{3} + x+1$ .

i will solve the above question and i believe with this you will be able to solve any related problem.

A(x)B(x)= $(x^{2} +1) (x^{3}+x+1) mod (x^{4}+x+1 ) = (x^{5} +x^{3}+x^{2} ) + (x^{3}+x+1 ) mod (x^{4} + x+1 )$

= $x^{5}+2x^{3} +x^{2} + x + 1 mod(x^{4}+x+1 )$

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Starting with the first question: 9x + 2y = 6

Firstly, subtract 9x on both sides: 2y = -9x + 6

Next, divide both sides by 2, and your equation will be y = -4.5x + 3

Now with the next equation: y - 3 = 4(x + 1)

Firstly, foil 4(x + 1): y - 3 = 4x + 4

Next, subtract y on both sides: -3 = 4x - y + 4

Next, subtract 4 on both sides, and your answer will be: -7 = 4x - y

Next equation: y + 7 = -2(x - 3)

Firstly, foil -2(x - 3): y + 7 = -2x + 6

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