Factorize 3x2−(3√3−1)x−√3 and verify relationship between the zeroes and the coefficients. [2 MARKS]
Factorisation : 1 Mark Verification : 1 Mark Given polynomial is, 3x2−(3√3−1)x−√3 =3x2−3√3x+x−√3 =3x(x−√3)+1(x−√3) =(x−√3)(3x+1) So the zeroes are, x−√3=0⇒x=√3 3x+1=0⇒x=−13 For verification, α+β=−13+√3=3√3−13=−ba αβ=−13×√3=−1√3=ca
Factorize z2+3√3z−12 and verify the relationship between zeroes and coefficient [2 MARKS]
Factorize x3+3x2−28x and verify the relationship between the zeroes and coefficients.
Find the zeros of the following quadratic polynomials and verify the relationship between the zeros and the coefficients :