Question

Find a quadratic polynomial, the sum and product of whose zeroes are 0 and 35. respectively
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Answer 1

x²-(a + b)x + ab

x² - 0x + 35

x² + 35

Answer 2

Answer:

Given:  the sum and product of whose zeroes are 0 and 35 respectively

To find: Quadratic polynomial.

Step-by-step explanation:

A degree two polynomial is a quadratic polynomial. The following is a univariate quadratic polynomial. A quadratic equation is one that contains a quadratic polynomial. For the answers of any arbitrary quadratic problem, there is a closed-form solution known as the quadratic formula.

Sum of the zeroes = 0

i. e., alpha + beta = 0

Product of zeroes = 35

i. e., alpha × beta = 35

Then the polynomial is of the form

x² - (alpha + beta ) × x + (alpha × beta) = 0

x² - 0 × x + 35 = 0

x² - 0 + 35 = 0

x² + 35 is the polynomial

x² = - 35

x = - √35

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