Home
Class 9
MATHS
If p(x)=x^(2)-3x+2" then "p(1)+p(-1)-p(0...

If `p(x)=x^(2)-3x+2" then "p(1)+p(-1)-p(0)` is ..............

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to evaluate the expression \( p(1) + p(-1) - p(0) \) using the polynomial \( p(x) = x^2 - 3x + 2 \). ### Step-by-Step Solution: 1. **Calculate \( p(1) \)**: \[ p(1) = 1^2 - 3 \cdot 1 + 2 \] \[ = 1 - 3 + 2 \] \[ = 0 \] 2. **Calculate \( p(-1) \)**: \[ p(-1) = (-1)^2 - 3 \cdot (-1) + 2 \] \[ = 1 + 3 + 2 \] \[ = 6 \] 3. **Calculate \( p(0) \)**: \[ p(0) = 0^2 - 3 \cdot 0 + 2 \] \[ = 0 + 0 + 2 \] \[ = 2 \] 4. **Combine the results**: Now we substitute the values we calculated into the expression: \[ p(1) + p(-1) - p(0) = 0 + 6 - 2 \] \[ = 6 - 2 \] \[ = 4 \] Thus, the final answer is: \[ \boxed{4} \]
Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    CBSE COMPLEMENTARY MATERIAL|Exercise True & False|22 Videos
  • POLYNOMIALS

    CBSE COMPLEMENTARY MATERIAL|Exercise Part C|29 Videos
  • NUMBER SYSTEMS

    CBSE COMPLEMENTARY MATERIAL|Exercise Part - D|18 Videos
  • PRACTICE QUESTION PAPER-2

    CBSE COMPLEMENTARY MATERIAL|Exercise PART D|7 Videos

Similar Questions

Explore conceptually related problems

If p(x)=x^(3)-2x^(2)+x+1" then "p(0) xx p(-1)=............

If p(x)=5x-4x^(2)+3 then p (-1)= ?

If p(x)=x^(3)+2x^(2)-5x-6, " find "p(2), p(-1),p(-3)andp(0) . What do you conclude about the zeros of p(x) ? Is 0 a zero of p(x)?

If p(x) =x^(2)-4x+3, then evaluate p(2) -p(-1)+p((1)/(2)) .

If P(x)= x^4+1 , then find P(2)-P(-2).

If p(x)=x^(3)+2x^(2)+x find : (i) p(0) (ii)p(2)

If p(x)=x^(3)-3x^(2)+2x , find p (0) , p(1) , p(2). What do you conclude?

If p(4)=3x^(2)+2x-2, then the value of p(3)-p(-1)+p((1)/(2)) is

If p(x)=x^3-x^2+x+1 ,the value of (p(-1)+ p(1))/2 is (a)1/4 (b)4 (c)0 (d)-2

if p(x)=3x^(2)+2x-2 then find the value of p(3)-p(-1)+p((1)/(2))