the sum and product of the zeros of a quadratic polynomial in x are 3 and-4. find the quadratic polynomial
Answers
The sum of the zeroes of a quadratic polynomial is equal to the negative of the coefficient of x by the coefficient of x2 . A polynomial having value 0 is called a zero polynomialSol. Let the polynomial be ax2 + bx + c and its zeros be α and β. If k = 4, then the polynomial is 4x2 – x – 4. Example 6: Find a cubic polynomial with the sum of its zeroes, sum of the products of its zeroes taken two at a time, and product of its zeroes as 2, – 7 and –14, respectivelyQuadratic Formula. A polynomial in the form of ax² + bx + c where a, b and c are real numbers, and a 0 is known as a quadratic polynomial.This lesson is all about Quadratic Polynomials in standard form. Finding the degree of a polynomial is nothing more than locating the largest exponent on a variable. So, this means that a Quadratic Polynomial has a degree of 2!Regardless of odd or even, any polynomial of positive order can have a maximum number of zeros equal to its order. For example, a cubic function can have as many as three zeros, but no more. This is known as the fundamental theorem of algebra.For a quadratic equation ax2+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a. A quadratic equation may be expressed as a product of two binomials. Here, a and b are called the roots of the given quadratic equatio
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