Home
Class 9
MATHS
If p(x)=5x-4x^(2)+3 then p (-1)= ?...

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

A

`2`

B

`-2`

C

`6`

D

`-6`

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to evaluate the polynomial \( p(x) = 5x - 4x^2 + 3 \) at \( x = -1 \). ### Step-by-step Solution: 1. **Write down the polynomial**: \[ p(x) = 5x - 4x^2 + 3 \] 2. **Substitute \( x = -1 \) into the polynomial**: \[ p(-1) = 5(-1) - 4(-1)^2 + 3 \] 3. **Calculate \( 5(-1) \)**: \[ 5(-1) = -5 \] 4. **Calculate \( (-1)^2 \)**: \[ (-1)^2 = 1 \] 5. **Calculate \( -4(-1)^2 \)**: \[ -4(1) = -4 \] 6. **Now substitute these values back into the equation**: \[ p(-1) = -5 - 4 + 3 \] 7. **Combine the values**: - First, combine \(-5\) and \(-4\): \[ -5 - 4 = -9 \] - Then add \(3\): \[ -9 + 3 = -6 \] 8. **Final result**: \[ p(-1) = -6 \] ### Conclusion: The value of \( p(-1) \) is \(-6\).
Promotional Banner

Similar Questions

Explore conceptually related problems

(i) If p(x)=3x^(2)-5x+6 , find p(2) . (ii) If q(x)=x^(2)-2sqrt(2)x+1 , find q(2sqrt(2)) . (iii) If r(x)=5x-4x^(2)+3 find r(-1) .

For a polynomial p(x) of degree ge1, p(a)=0 , where a is a real number, then (x-a) is a factor of the polynomial p(x) p(x)=x^(3)-3x^(2)+4x-12 , then p(3) is

Find the value of p(x)=5x-4x^(2)+3 for x=-1.

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

If p(x)=x^(3)-5x^(2)+4x-3 andg(x)=x-2 show that p(x) is not a multiple of g(x).

If p(x)=4x^(2)-3x+6 find : (i) p(4) (ii) p(-5)

If p(x)=5-4x+2x^(2), find (i)p(0)(ii)p(3)(iii)p(-2)

p(x)=4x^(5)-3x^(4)-5x^(3)+x^(2)-8, then find p(-1)

If p(x)=x^4-5x^3+4x^2+ax+b and (x-1),(x-2 ) are the factors of p(x) then find a and b

If p(x)=x^(5)+4x^(4)-3x^(2)+1 " and" g(x)=x^(2)+2 , then divide p(x) by g(x) and find quotient q(x) and remainder r(x).