Advertisements
Advertisements
Question
Determine the degree of the following polynomial:
y3(1 – y4)
Solution
Degree of polynomial y3(1 – y4) or y3 – y7 is seven, because the maximum exponent of y is seven.
APPEARS IN
RELATED QUESTIONS
Write the standard form of a quadratic polynomial with real coefficients.
Write the family of quadratic polynomials having \[- \frac{1}{4}\] and 1 as its zeros.
The graph of the polynomial f(x) = ax2 + bx + c is as shown in Fig. 2.20. Write the value of b2 − 4ac and the number of real zeros of f(x).
If x = 1 is a zero of the polynomial f(x) = x3 − 2x2 + 4x + k, write the value of k.
If α, β are the zeros of the polynomial f(x) = x2 + x + 1, then \[\frac{1}{\alpha} + \frac{1}{\beta} =\]
If f(x) = ax2 + bx + c has no real zeros and a + b + c = 0, then
Obtain all the zeroes of the polynomial 2x4 − 5x3 − 11x2 + 20x + 12 when 2 and − 2 are two zeroes of the above polynomial.
Case Study -1
The figure given alongside shows the path of a diver, when she takes a jump from the diving board. Clearly it is a parabola.
Annie was standing on a diving board, 48 feet above the water level. She took a dive into the pool. Her height (in feet) above the water level at any time‘t’ in seconds is given by the polynomial h(t) such that h(t) = -16t2 + 8t + k.
Rita’s height (in feet) above the water level is given by another polynomial p(t) with zeroes -1 and 2. Then p(t) is given by ______.
Determine the degree of the following polynomial:
x3 – 9x + 3x5
For the polynomial `((x^3 + 2x + 1))/5 - 7/2 x^2 - x^6`, write the constant term