1) If p(x) = x2- 3x + 2, then what is the value of p (0) + p (2)
Answers
Question:-
If p(x) = x²- 3x + 2, then what is the value of p (0) + p (2)
Answer:-
Given: p(x) = x²- 3x + 2
p(0) = 0² - (3 * 0) + 2 = 0 - 0 + 2 = 2
p(2) = 2² - (3 * 2) + 2 = 4 - 6 + 2 = 0
p(0) + p (2) = 2 + 0 = 2
Ans. = 2
Given,
p(x) = x²-3x+2
To find,
The value of p(0) + p(2).
Solution,
The value of p(0) + p(2) will be 2.
We can easily solve this problem by following the given steps.
First, let's find the value of p(0) by putting the value of x to be 0.
According to the question,
p(x) = x²-3x+2
p(0) = (0)² -3×0 + 2
p(0) = 0 -0 +2
p(0) = 2
Now, let's find the value of p(2) by putting the value of x to be 2.
p(x) = x²-3x+2
p(2) = (2)²- 3×2 + 2
p(2) = 4-6+2
p(2) = 6-6 [ Note that using the BODMAS ( Bracket, Of, Division, Multiplication, Addition and Subtraction), we have first added the numbers with plus sign]
p(2) = 0
Now, putting the values of p(0) and p(2) in p(0) + p(2),
p(0) + p(2) = 2+0
p(0) + p(2) = 2
Hence, the value of p(0) + p(2) is 2.