Advertisements
Advertisements
Question
If the product of zeros of the quadratic polynomial f(x) = x2 − 4x + k is 3, find the value of k.
Solution
We have to find the value of k.
Given,
The product of the zeros of the quadratic polynomial `f(x)=x^2-4x+k`.is 3
Product of the polynomial = 3
`\text{Constant team}/(\text{Coefficient of }x^3)=3`
`k/1=3`
`k=3xx1`
`k=3`
Hence, the value of k is k = 3.
APPEARS IN
RELATED QUESTIONS
In Q. No. 14, write the sign of c.
The graph of a polynomial f(x) is as shown in Fig. 2.21. Write the number of real zeros of f(x).
If the graph of quadratic polynomial ax2 + bx + c cuts negative direction of y-axis, then what is the sign of c?
If the diagram in Fig. 2.22 shows the graph of the polynomial f(x) = ax2 + bx + c, then
State whether the given algebraic expression are polynomial? Justify.
`2 - 5 sqrt x`
State whether the given algebraic expression are polynomial? Justify.
`x^2 + 7x + 9`
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?
Basketball and soccer are played with a spherical ball. Even though an athlete dribbles the ball in both sports, a basketball player uses his hands and a soccer player uses his feet. Usually, soccer is played outdoors on a large field and basketball is played indoor on a court made out of wood. The projectile (path traced) of soccer ball and basketball are in the form of parabola representing quadratic polynomial.
The shape of the path traced shown is:
Classify the following as a constant, linear, quadratic and cubic polynomials:
2 + x
Classify the following as a constant, linear, quadratic and cubic polynomials:
`sqrt(2)x - 1`