If P(X)=4x-4 , Find the numbers P(1) and P(2)? b)Write a first degree

1.	If P(X)=4x-4 , Find the numbers P(1) and P(2)? b)Write a first degree polynomial q(x) where q(1)=1 and q(2)=5?
Answer» SOLUTION TO DETERMINE a. P(x) = 4X - 4, find the numbers P(1) and P(2) b. WRITE a first degree polynomial Q(x) where q(1) = 1 and q(2) = 5 EVALUATION a. Here the given polynomial is P(x) = 4x - 4 Putting x = 1 we get P(1) = ( 4 × 1 ) - 4 = 4 - 4 = 0 Putting x = 2 we get P(2) = ( 4 × 2 ) - 4 = 8 - 4 = 4 b. q(x) is a first degree polynomial Let q(x) = AX + b q(1) = a + b q(2) = 2a + b So by the given condition a + b = 1 - - - - - (1) 2a + b = 5 - - - - - (2) Equation 2 - Equation 1 gives a = 4 From Equation 1 we get b = 1 - a = 1 - 4 = - 3 ∴ q(x) = 4x - 3 ━━━━━━━━━━━━━━━━ Learn more from Brainly :- $1.$ Evaluate f(x) = x4 - 7x2 + 2x - 6 at x = 1 brainly.in/question/32494746 2. when polynomial p(x) is divided by 2x+1 is it possible to have x-1 as a remainder ? justify your answer brainly.in/question/12700135

If P(X)=4x-4 , Find the numbers P(1) and P(2)? b)Write a first degree polynomial q(x) where q(1)=1 and q(2)=5?

Answer»

TO DETERMINE

a. P(x) = 4X - 4, find the numbers P(1) and P(2)

b. WRITE a first degree polynomial Q(x) where q(1) = 1 and q(2) = 5

EVALUATION

a. Here the given polynomial is

P(x) = 4x - 4

Putting x = 1 we get

P(1) = ( 4 × 1 ) - 4 = 4 - 4 = 0

Putting x = 2 we get

P(2) = ( 4 × 2 ) - 4 = 8 - 4 = 4

b. q(x) is a first degree polynomial

Let q(x) = AX + b

q(1) = a + b

q(2) = 2a + b

So by the given condition

a + b = 1 - - - - - (1)

2a + b = 5 - - - - - (2)

Equation 2 - Equation 1 gives

a = 4

From Equation 1 we get

b = 1 - a = 1 - 4 = - 3

∴ q(x) = 4x - 3

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Learn more from Brainly :-

$1.$ Evaluate f(x) = x4 - 7x2 + 2x - 6 at x = 1

2. when polynomial p(x) is divided by 2x+1 is it possible to have x-1 as a remainder ? justify your answer