Given below are the Class 10 Maths Extra questions for Polynomials

a. Finding Zero's Questions

b. Short Answers Questions

c. Word Problems

Find a quadratic polynomial whose zeroes are $5 + \sqrt {2}$ and $5 - \sqrt {2}$

Solution

If a and b are zeroes of quadratic polynomial $kx^2 + 4x + 4$, find the value of k such that $(a+b )^2- 2ab= 24$.

Solution

If one zero of $3x^2 - 4x + p$ is reciprocal to the other, then find the value of p

Solution

If p and q are the zeroes of $p(x) = kx^2 - 3x + 2k$ and $p+q=pq$ then find the value of k.

Solution

If a and b are zeroes of $x^2 - 6x + k$. What is the value of k, if $3a+2b= 20$?

Solution

If one zero of the quadratic polynomial $x^2 + 3x + k$ is 2, then find the value of k.

Solution

Find the zeroes of the quadratic polynomial $x^2 + 8x + 16$ and verify the relationship between the zeroes and the coefficients.

Solution

Find the value of a and b, if they are the zeroes of polynomial x

Solution

If m and n are the zeroes of the polynomial $3x^2 + 11x - 4$, find the value of $ \frac {m}{n} + \frac {n}{m}$

Solution

Show that 2, -1 and 1/2 are the zeroes of the cubic polynomial

$p(x) = 2x^3 - 3x^2 - 3x + 2$

and then verify that the sum of the zeroes =-(Coeff of x

Find the zeroes of the polynomial $f(x) = 4 \sqrt {3} x^2 + 5x - 2 \sqrt {3}$ , and verify the relationship between the zeroes and its coefficients.

Solution

If p and q are the zeroes of the polynomial $f(x) = x^2 - 5x + k$ such that $p-q= 1$, find the value of k.

Solution

If a and b are the zeroes of the quadratic polynomial $f(x) = x^2 - 4x + 3$, find the value of $a^4 b^3 + a^3 b^4$.

Solution

Solution

If two zeroes of the polynomial $f(x) =x^3 - 4x^2 - 3x + 12$ are √3 and -√3 then find its third zero.

Solution

If l and m are zeroes of the polynomial $p(x) = 2x^2 - 5x + 7$, find a polynomial whose zeroes are $2l+ 3$ and $2m+ 3$.

Solution

If p ,q and r are zeroes of polynomial $6x^3+ 3x^2 - 5x + 1$, then find the value of $\frac {1}{p} + \frac {1}{q} + \frac {1}{r}$.

Solution

If the zeroes of the polynomial $f(x) = ax^3 + 3bx^2 + 3cx + d$ are in A. P., prove that $2b^3 - 3abc + a^2d = 0$.

Solution

Obtain all zeroes of the polynomial $f(x) = 2x^4 - 2x^3 - 7x^2 + 3x + 6$, if its two zeros are √3/2 and -√3/2

Solution

The graphs of y = p(x) are given in below figure, for some polynomials p(x). Find the number of zeroes of p(x), in each case.

Solution

**Notes****NCERT Solutions****Assignments**

Given below are the links of some of the reference books for class 10 math.

- Oswaal CBSE Question Bank Class 10 Hindi B, English Communication Science, Social Science & Maths (Set of 5 Books)
- Mathematics for Class 10 by R D Sharma
- Pearson IIT Foundation Maths Class 10
- Secondary School Mathematics for Class 10
- Xam Idea Complete Course Mathematics Class 10

You can use above books for extra knowledge and practicing different questions.

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