Advertisements
Advertisements
प्रश्न
For what value of k, is 3 a zero of the polynomial 2x2 + x + k?
उत्तर
We know that if `x = a` is zero polynomial, and then x - a is a factor of f(x)
Since 3 is zero of f (x)
Therefore x - 3 is a factor of f(x)
Now, we divide `f(x)=2x^2+ x+ k` by `g (x) = x-3` to find the value of k
Now, remainder = 0
`k + 21 = 0 `
` k = -21`
Hence, the value of k is = -21
APPEARS IN
संबंधित प्रश्न
Classify the following polynomials as polynomials in one-variable, two variables etc:
`xy+yx+zx`
State division algorithm for polynomials.
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 a quadratic polynomial f(x) is factorizable into linear distinct factors, then what is the total number of real and distinct zeros of f(x)?
If the sum of the zeros of the polynomial f(x) = 2x3 − 3kx2 + 4x − 5 is 6, then the value ofk is
Which of the following is a polynomial?
Divide. Write the quotient and the remainder.
40m5 ÷ 30m3
Divide. Write the quotient and the remainder.
(2y3 + 4y2 + 3) ÷ 2y2
Identify the following expression is polynomial. If not give reason:
`1/x(x + 5)`
For the polynomial `((x^3 + 2x + 1))/5 - 7/2 x^2 - x^6`, write the coefficient of x6
