Advertisements
Advertisements
Question
Define degree of a polynomial.
Solution
The exponent of the highest degree term in a polynomial is known as its degree.
In other words, the highest power of x in a polynomial ` f(x)` is called the degree of the polynomial ` f(x)`.
For Example: `g(x)= 2x^2+3x+4 ` is a polynomial in the variable x of degree 2.
APPEARS IN
RELATED QUESTIONS
In Q. No. 15, write the sign of c.
If graph of quadratic polynomial ax2 + bx + c cuts positive direction of y-axis, then what is the sign of c?
If α, β are the zeros of polynomial f(x) = x2 − p (x + 1) − c, then (α + 1) (β + 1) =
If the product of zeros of the polynomial f(x) ax3 − 6x2 + 11x − 6 is 4, then a =
State whether the given algebraic expression is polynomial? Justify.
10
Divide. Write the quotient and the remainder.
40a3 ÷ (−10a)
Divide. Write the quotient and the remainder.
(25m4 − 15m3 + 10m + 8) ÷ 5m3
The below picture are few natural examples of parabolic shape which is represented by a quadratic polynomial. A parabolic arch is an arch in the shape of a parabola. In structures, their curve represents an efficient method of load, and so can be found in bridges and in architecture in a variety of forms.
In the standard form of a quadratic polynomial, ax2 + bx + c, a, b and c are:
The value of the polynomial 5x – 4x2 + 3, when x = –1 is ______.
Classify the following as a constant, linear, quadratic and cubic polynomials:
3
