What is the sum of zeros of a quadratic polynomial?

The sum of the zeroes of a quadratic polynomial equals the negative of the coefficient of x by the coefficient of x2. The product of the zeroes equals the constant term by the coefficient of x2. A polynomial having the value 0 is called a zero polynomial.

What are the roots of quadratic equation x2 16?

x = (-4) and x = 4 are solution of the equation x² = 16.

What are the zeros of the polynomial t2 15?

Therefore, the zeros of the quadratic polynomial are $ + \sqrt {15} = 3.87$ and $ – \sqrt {15} = – 3.87$.

What is the quadratic polynomial whose zeroes are 4 and 1?

Answer: x^2-4x+1.

How many real number solution are there in X² 16 0?

The number under the square root is negative, so there are no real solutions.

What is the factor of x2 16?

There are two ways to factorize x2−16 – one using identity a2−b2=(a+b)(a−b) . Other method is by splitting the middle term, which is 0 here and as product of coefficient of x2 and constant term is −16 . we need to do is to split middle term in 4 and −4 (as their sum is zero and product is −16 ).

How do you find the quadratic polynomial?

1. Sum of zeros =5−5=0.
2. Products of zeros =5×−5=−25.
3. Hence, the quadratic polynomial is =kx2+(sum of zeros)x+product of zeros.
4. Putting the values in quadratic polynomial =kx2−0+(−25).
5. Hence, the quadratic polynomial is kx2−25, where k is constant.

What is the zero of the zero polynomial is?

Explanation: Zero polynomial is a constant polynomial whose coefficients are all equal to 0. Zero of a polynomial is the value of the variable that makes the polynomial equal to zero. Therefore, zero of the zero polynomial is any real number.

What is the sum of zeroes of a quadratic polynomial?

The sum of the zeroes of a quadratic polynomial equals the negative of the coefficient of x by the coefficient of x 2. The product of the zeroes equals the constant term by the coefficient of x 2. A polynomial having the value 0 is called a zero polynomial. Download FREE Study Materials

What is the sum of zeros of T2 – 16?

The zeros of the polynomial [ t² – 16] are those values of t which would make the polynomial zero. When t = +4 or – 4, t² would be +16 and t² -16 would equal zero. So sum of zeros of t² – 16 = + 4 + (- 4) = 0. The sum of the zeros of the given polynomial is zero.

What is the product of the zeroes of a polynomial?

The product of the zeroes equals the constant term by the coefficient of x 2. A polynomial having the value 0 is called a zero polynomial.

What is the sum and product of the zeros of P?

The zeroes are 6 and 7. So, the sum of zeros is 6+7 = 13 and the product of zeros are 6×7= 42. Therefore, the sum of the zeros is 13 and their product is 42. Example 2: The sum and product of the zeroes of a quadratic polynomial p are 9 and 20 respectively.