Question:
If a polynomial of degree 7 is divided by a polynomial of degree 4, then the degree of the quotient is
If a polynomial of degree 7 is divided by a polynomial of degree 4, then the degree of the quotient is
Updated On: May 17, 2024
- less than 3
- 3
- more than 3
- 0
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
The correct option is (B): 3
Was this answer helpful?
0
0
Top Questions on Polynomials
- Let \( f(x) \) be a polynomial function satisfying \[ f(x) \cdot f\left(\frac{1}{x}\right) = f(x) + f\left(\frac{1}{x}\right). \] If \( f(4) = 65 \) and \( I_1, I_2, I_3 \) are in GP, then \( f'(I_1), f'(I_2), f'(I_3) \) are in:
- VITEEE - 2024
- Mathematics
- Polynomials
- If \( P(x) = x^5 + ax^4 + bx^3 + cx^2 + dx + e \) is a polynomial such that: \[ P(0) = 1, \quad P(1) = 2, \quad P(2) = 5, \] \[ P(3) = 10, \quad P(4) = 17, \] then find the value of \( P(5) \)=
- AP EAPCET - 2024
- Mathematics
- Polynomials
If the sum of two roots of \( x^3 + px^2 + qx - 5 = 0 \) is equal to its third root, then \( p(q^2 - 4q) = \) ?
- AP EAPCET - 2024
- Mathematics
- Polynomials
- If \( \alpha \) and \( \beta \) are two distinct negative roots of the equation \( x^5 - 5x^3 + 5x^2 - 1 = 0 \), then the equation of least degree with integer coefficients having \( \sqrt{-\alpha} \) and \( \sqrt{-\beta} \) as its roots is:
- AP EAMCET - 2024
- Mathematics
- Polynomials
- If the number of real roots of \( x^9 - x^5 + x^4 - 1 = 0 \) is \( n \), the number of complex roots having argument on imaginary axis is \( m \), and the number of complex roots having argument in the second quadrant is \( k \), then \( m.n.k \) is:
- AP EAMCET - 2024
- Mathematics
- Polynomials
View More Questions
Questions Asked in AP POLYCET exam
- If the volume of a cylinder is 500 m3 and the area of its base is 25 m2, then its height (in m) is
- AP POLYCET - 2024
- Volume of Cube, Cuboid and Cylinder
- Find the 10th term of the arithmetic progression \(5,1,-3,-7,..….\)
- AP POLYCET - 2024
- Arithmetic Progressions
- If a sin 45°= b cosec 30°, then the value of \(\frac {a^4}{b^4}\) is
- AP POLYCET - 2024
- Trigonometry
- The ratio of the sum and product of the roots of the quadratic equation \(7x^2-12x+18=0\) is
- AP POLYCET - 2024
- Quadratic Equations
- The speed of light in vacuum is c. The speed of light in a medium of refractive index \(\frac 43\) is
- AP POLYCET - 2024
- Light - Reflection and Refraction
View More Questions