Advertisements
Advertisements
Question
The value of the polynomial 5x – 4x2 + 3, when x = –1 is ______.
Options
– 6
6
2
–2
Solution
The value of the polynomial 5x – 4x2 + 3, when x = –1 is 6.
Explanation:
Let f(x) = 5x – 4x2 + 3
The value of f(–1) will be
f(–1) = 5 × (–1) – 4 × (–1)2 + 3
= –5 – 4 + 3
= –9 + 3
= 6
APPEARS IN
RELATED QUESTIONS
Define the zero of a polynomial.
Write the family of quadratic polynomials having \[- \frac{1}{4}\] and 1 as its zeros.
Give an example of polynomials f(x), g(x), q(x) and r(x) satisfying f(x) = g(x), q(x) + r(x), where degree r(x) = 0.
If 1 is a zero of the polynomial p(x) = ax2 − 3(a − 1) x − 1, then find the value of a.
If α and β are the zeros of the polynomial f(x) = x2 + px + q, then a polynomial having \[\frac{1}{\alpha} \text{and}\frac{1}{\beta}\] is its zero is
If α, β are the zeros of polynomial f(x) = x2 − p (x + 1) − c, then (α + 1) (β + 1) =
If α, β are the zeros of the polynomial f(x) = x2 − p(x + 1) − c such that (α +1) (β + 1) = 0, then c =
If the product of zeros of the polynomial f(x) ax3 − 6x2 + 11x − 6 is 4, then a =
Divide. Write the quotient and the remainder.
(6x5 − 4x4 + 8x3 + 2x2) ÷ 2x2
An asana is a body posture, originally and still a general term for a sitting meditation pose, and later extended in hatha yoga and modern yoga as exercise, to any type of pose or position, adding reclining, standing, inverted, twisting, and balancing poses. In the figure, one can observe that poses can be related to representation of quadratic polynomial.
In the graph, how many zeroes are there for the polynomial?