Advertisements
Advertisements
प्रश्न
What should be subtracted to the polynomial x2 − 16x + 30, so that 15 is the zero of the resulting polynomial?
विकल्प
30
14
15
16
उत्तर
We know that, if `x = alpha`, is zero of a polynomial then `x-alpha` is a factor of f(x)
Since 15 is zero of the polynomial f (x) = x2 − 16x + 30, therefore (x − 15) is a factor of f (x)
Now, we divide f(x) = x2 − 16x + 30 by ( x - 15) we get
Thus we should subtract the remainder 15 from `x^2 - 16x+30`
Hence, the correct choice is (c).
APPEARS IN
संबंधित प्रश्न
If the zeroes of the polynomial x3 – 3x2 + x + 1 are a – b, a, a + b, find a and b
Find a cubic polynomial whose zeroes are `1/2, 1 and -3.`
On dividing `3x^3 + x^2 + 2x + 5` is divided by a polynomial g(x), the quotient and remainder are (3x – 5) and (9x + 10) respectively. Find g(x).
Define a polynomial with real coefficients.
If two zeroes of the polynomial x3 + x2 − 9x − 9 are 3 and −3, then its third zero is
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.
What will be the expression of the polynomial?
A quadratic polynomial, whose zeroes are –3 and 4, is ______.
If all three zeroes of a cubic polynomial x3 + ax2 – bx + c are positive, then at least one of a, b and c is non-negative.
Find the zeroes of the following polynomials by factorisation method and verify the relations between the zeroes and the coefficients of the polynomials:
`7y^2 - 11/3 y - 2/3`
If the zeroes of the polynomial x2 + px + q are double in value to the zeroes of the polynomial 2x2 – 5x – 3, then find the values of p and q.
