Verify Whether the Following are Zeros of the Polynomial, Indicated Against them: p(x) = (x+1)(x-2), x = -1, 2
By BYJU'S Exam Prep
Updated on: October 17th, 2023
x = -1, 2 are the zeros of the polynomial.
To verify whether a given value is a zero of a polynomial, we will follow these steps:
- Take the polynomial equation and substitute the given value for the variable.
- Evaluate the polynomial expression using the given value.
- If the evaluated expression equals zero, then the given value is a zero of the polynomial. If it doesn’t equal zero, then the value is not a zero of the polynomial.
Table of content
Verify Whether the Following are Zeros of the Polynomial, Indicated Against them: p(x) = (x+1)(x-2), x = -1, 2
Solution:
To verify whether the values x = -1 and x = 2 are zeroes of the polynomial p(x) = (x + 1)(x – 2), we substitute these values into the polynomial and check if the resulting expression evaluates to zero.
For x = -1:
p(-1) = (-1 + 1)(-1 – 2)= (0)(-3)= 0.
Since p(-1) evaluates to zero, x = -1 is a zero of the polynomial p(x).
For x = 2:
p(2) = (2 + 1)(2 – 2)= (3)(0)= 0.
Similarly, p(2) evaluates to zero, confirming that x = 2 is also a zero of the polynomial p(x).
Therefore, x = -1 and x = 2 are both zeroes of the polynomial p(x) = (x + 1)(x – 2).
Answer:
x = -1, 2 are Zeros of the Polynomial p(x) = (x+1)(x-2)
Similar Questions:
- For What Value of k, (-4) is a Zero of the Polynomial x²-x-(2k+2)
- Find the Zeros of the Quadratic Polynomial 4u²+8u and Verify the Relationship between the Zeros and the Coefficient.
- Write the Zeros of the Quadratic Polynomial f(x) = 4√3x² + 5x – 2√3
- Find the Zeros of the Quadratic Polynomial √3x² – 8x + 4√3
- If α and β are Zeros of Polynomial x²+6x+9, then a Quadratic Polynomial whose Zeros are -alpha, -beta is x² – 6x + 9
- Solve the Following Quadratic Equation for x:4√3×2+5x−2√3=0
- Find the Quadratic Polynomial, Sum of Whose Zeros is (5/2) and Their Product is 1. Hence, Find the Zeros of the Polynomial
- If α and β are the Zeros of the Polynomial x^2-2x-15, Then Form a Quadratic Polynomial whose Zeros are 2α and 2β
