Ifαandβare the zeros of the polynomialp(x)=x2−px+q, then find the value of1α+1β View Solution Ifαandβare the zeroes of the polynomialf(x)=5x2−7x+1, then find the value of(αβ+βα). View Solution Ifαandβare zeros of polynomialf(x)=2x2+11x+5, then find ...
Step 1: Identify the values of α+β and αβFrom the polynomial f(x)=x2+px+q, we know:- The sum of the roots (zeros) α+β=−p1=−p (using Vieta's formulas).- The product of the roots αβ=q1=q. Step 2: Calculate (α+β)2Using the value of α+β:(α+β)2=(...
If α and β are the zeros of the quadratic polynomial fx=x2 2 x+3, find a polynomial whose roots are i α+2, β+2 ii α 1 α+1, β 1 β+1.
one zero of the polynomial function f(x) = x^3+x^2 - 20x is x = 0. what are the zeros of the polynomial function? What are the zeros of the quadratic function f(x) = 2x^2 + 16x - 9? What are the zeros of the quadratic function f(x) = 8x^2 - 16x - ...
Find all the zeros of the polynomial f(x)=2x^4-3x^3-3x^2+6x-2 , if two of its zeros are sqrt(2) and -sqrt(2) .
If the product of two zeros of the polynomialf(x)=2x3+6x2−4x+9is , then its third zero is (a)32(b)−32(c)92(d)−92 View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium ...
Find all zeros of the polynomial f(x)=2x^3+x^2-6x-3 , if two of its zeros are -sqrt(3) and sqrt(3) .
To solve the problem, we need to find the value of pq given that the sum of two roots of the polynomial x3+px2+qx+r=0 is zero. 1. Identify the roots: Let the roots of the polynomial be α,β, and γ. According to the problem, we know that the sum of two roots is zero,...
Step by step video & image solution for Find the zeros of the polynomial f(x)=x^3-5x^2-16 x+80 , if its two zeros are equal in magnitude but opposite in sign. by Maths experts to help you in doubts & scoring excellent marks in Class 10 exams. ...
If αandβ are the zeros of the quadratic polynomial f(x)=x2−x−2, find a polynomial whose zeros are 2α+1and2β+1. Video Solution Text SolutionGenerated By DoubtnutGPT To solve the problem, we need to find a polynomial whose zeros are 2α+1 and 2β+1, given that α and ...