SolveItClass 10 · NCERT

NCERT Solutions · Class 10 Mathematics Polynomials

3 questions · 3 still being checked

EXERCISE 2.2 1–2 (part 2 of 2)

Exercise 1
Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients.
(i)
$\displaystyle x^{2}-2 x-8$
(ii)
$\displaystyle 4 s^{2}-4 s+1$
(iii)
$\displaystyle 6 x^{2}-3-7 x$
(iv)
$\displaystyle 4 u^{2}+8 u$
(v)
$\displaystyle t^{2}-15$
(vi)
$\displaystyle 3 x^{2}-x-4$
NCERT’s answer
(i)
-$\displaystyle 2,4$ (ii) $\displaystyle \frac{1}{2}, \frac{1}{2}$ (iii) $\displaystyle -\frac{1}{3}, \frac{3}{2}$ (iv) -$\displaystyle 2,0$ (v) $\displaystyle -\sqrt{15}, \sqrt{15}$ (vi) $\displaystyle -1, \frac{4}{3}$
Working being prepared
Exercise 2
Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively.
(i)
$\displaystyle \frac{1}{4},-1$
(ii)
$\displaystyle \sqrt{2}, \frac{1}{3}$
(iii)
$\displaystyle 0, \sqrt{5}$
(iv)
$\displaystyle 1,1$
(v)
$\displaystyle -\frac{1}{4}, \frac{1}{4}$
(vi)
$\displaystyle 4,1$
NCERT’s answer
(i)
$\displaystyle 4 x^{2}-x-4$ (ii) $\displaystyle 3 x^{2}-3 \sqrt{2} x+1$ (iii) $\displaystyle x^{2}+\sqrt{5}$ (iv) $\displaystyle x^{2}-x+1$ (v) $\displaystyle 4 x^{2}+x+1$ (vi) $\displaystyle x^{2}-4 x+1$
Working being prepared