Advertisements
Advertisements
Question
If the sum of the zeros of the quadratic polynomial `kx^2-3x + 5` is 1 write the value of k..
Advertisements
Solution
By using the relationship between the zeroes of the quadratic polynomial.
We have
Product of zeroes=`("Constant term")/("Coefficient of "x^2)`
`⇒ =k/1`
`⇒ k=3`
APPEARS IN
RELATED QUESTIONS
Find the zeroes of the polynomial `x^2 + x – p(p + 1) `
Find the value of k such that the polynomial x2-(k +6)x+ 2(2k - 1) has some of its zeros equal to half of their product.
Find the value of k such that the polynomial x2 − (k + 6)x + 2(2k −1) has sum of its zeros equal to half of their product.
If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then ______.
The number of polynomials having zeroes as -2 and 5 is ______.
If the zeroes of the quadratic polynomial ax² + bx + c, c # 0 are equal, then ______.
If one of the zeroes of a quadratic polynomial of the form x² + ax + b is the negative of the other, then it ______.
A quadratic polynomial, whose zeores are -4 and -5, is ______.
If x3 + 1 is divided by x2 + 5, then the possible degree of quotient is ______.
If x4 + 3x2 + 7 is divided by 3x + 5, then the possible degrees of quotient and remainder are ______.
If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as ______.
Consider the following statements.
- x – 2 is a factor of x3 – 3x² + 4x – 4.
- x + 1 is a factor of 2x3 + 4x + 6.
- x – 1 is a factor of x5 + x4 – x3 + x² -x + 1.
In these statements
If f(x) = 5x - 10 is divided by x – `sqrt2`, then the remainder will be ______.
If 4x² – 6x – m is divisible by x – 3, the value of m is exact divisor of ______.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
Which of the following is not the graph of a quadratic polynomial?
If α and β are the zeroes of the polynomial x2 – 1, then the value of (α + β) is ______.
The graph of y = f(x) is shown in the figure for some polynomial f(x).
The number of zeroes of f(x) is ______.
The zeroes of the quadratic polynomial 16x2 – 9 are ______.
