A Quadratic Polynomial, the Sum of Whose Zeros is 0 and One Zero is 3, is

A Quadratic Polynomial, the Sum of Whose Zeros is 0 and One Zero is 3, is

Solution:

We are given that the sum of the zeros is 0 and one zero is 3.

Let us assume other zero as k.

Since sum of zero is 0, which means:

k + 3 = 0

⇒ k = -3

The zeros of the quadratic polynomial are 3 and -3.

We can express the quadratic polynomial as:

(x - 3)(x + 3) = 0

Expanding this equation, we get:

x² + 3x - 3x - 9 = 0

Simplifying further, we have:

x² - 9 = 0

Answer:

Quadratic Polynomial with the Sum of Zeros Equal to 0 and One Zero at 3 is x²- 9

Similar Questions:

• Form a Quadratic Polynomial one of Whose Zeros is 2+√5 and the Sum of the Zeros is 4
• Solve the Following Quadratic Equation by Factorization 3x^2-2√6x+2=0
• If the Squared Difference of the Zeros of Polynomial x²+px+45 is 144 Then Find p
• If the Sum of the Squares of Zeros of Quadratic Polynomial F(X)= x^2 - 8 x + K is 40, Find k
• If the Sum and the Product of the Zeros of Polynomial ax2 - 5x + c are Equal to 10 Each. Find the Values of a and c
• If One Zero of Polynomial 3x²-8x+2k+1 in Seven Times other Find the Zero and the Value of the k
• P(x)=x² + 2(√2)x - 6 Find the Zero of the Polynomial and Verify between Zero and Coefficients
• If x=2/3 and x=−3 are the Roots of the Quadratic Equation ax²+7x+b=0 then Find the Values of a and b
• If α and β are the Zeros of the Quadratic Polynomial p(x) = 4x² − 5x − 1, Find the Value of α²β + αβ²