Polynomials · Class 10 · CBSE Mathematics
The graph of y = p(x) is given, where p(x) is a polynomial. If the graph intersects the x-axis at exactly 3 distinct points, then the degree of p(x)…
Practice question from Polynomials (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.
easy · MCQ · Q-717D51
The graph of is given, where is a polynomial. If the graph intersects the x-axis at exactly 3 distinct points, then the degree of is at least:
- A.1
- B.2
- C.3Correct answer
- D.4
Solution
The number of zeroes of a polynomial is equal to the number of points where the graph of intersects the x-axis. Since the graph intersects the x-axis at 3 distinct points, the polynomial has 3 distinct real zeroes, meaning its degree must be at least 3.
More from Polynomials
- If one zero of the quadratic polynomial p(x) = 4x^2 - 8kx - 9 is negative of the other, then the value of k is:
- If alpha and eta are the zeroes of the polynomial f(x) = x^2 - 5x + k such that alpha - eta = 1, find the value of k.
- If the squared difference of the zeroes of the quadratic polynomial f(x) = x^2 + px + 45 is equal to 144, find the value of p.
- If the sum of the zeroes of the quadratic polynomial p(x) = kx^2 - 3x + 5 is equal to twice their product, then the value of k is:
Practise more Mathematics
Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.
Start practising freeFree to start · No credit card needed