Advertisements
Advertisements
Question
Define the zero of a polynomial.
Solution
The zero of a polynomial `f(x)` is defined as any real number `a` such that `f(a)=0`
APPEARS IN
RELATED QUESTIONS
Write the standard form of a linear polynomial with real coefficients.
The sum and product of the zeros of a quadratic polynomial are \[- \frac{1}{2}\] and −3 respectively. What is the quadratic polynomial.
Write a quadratic polynomial, sum of whose zeros is \[2\sqrt{3}\] and their product is 2.
Write the coefficient of the polynomial p(z) = z5 − 2z2 + 4.
If (x + a) is a factor of 2x2 + 2ax + 5x + 10, find a.
If 1 is a zero of the polynomial p(x) = ax2 − 3(a − 1) x − 1, then find the value of a.
Find the quadratic polynomial, sum, and product of whose zeroes are −1 and −20 respectively. Also, find the zeroes of the polynomial so obtained.
Let the polynomials be
(A) −13q5 + 4q2 + 12q
(B) (x2 + 4)(x2 + 9)
(C) 4q8 – q6 + q2
(D) `– 5/7 y^12 + y^3 + y^5`
Then ascending order of their degree is
Given that two of the zeroes of the cubic poly-nomial ax3 + bx2 + cx + d are 0, the third zero is ______.
For the polynomial `((x^3 + 2x + 1))/5 - 7/2 x^2 - x^6`, write the degree of the polynomial
