Question

Q1) Find the value of K if one root of the polynomial p(x)=5 x
2
+13x+K is reciprocal of the
other.
Q2) Find the quadratic polynomial whose zeroes are (5+2√3) and (5 - 2√3).
Q3) what will be the number of zeros of a linear polynomial p(x) if it's graph
(i) passes through the origin.
(ii) doesn't intersect or touch x-axis at any point?
Q4) If zeroes of x
2
-kx+6 are in the ratio 3:2, find k?
Q5) Find the value of a and b if the zeroes of the quadratic polynomial x
2
+(a+1) x+b are 2
and -3
Q6) Divide the polynomial p(x)=x
3+5 x
2
-3x+5 by the polynomial g(x)=x
2−x−1 and find the
quotient and the remainder.
Q7) If α and β are the zeroes of the quadratic polynomial f(x)=x
2−4 x+3, find the value of
α
4
β
2+α
2
β
4
Q8) What must be subtracted from 8x4 + 14x3
- 2x2 + 7x – 8 so that the resulting polynomial
is exactly divisible by 4x2 + 3x – 2?
Q9) If the polynomial x4
- 6x3 + 16x2
- 25x + 10 is divided by x2
- 2x + k, the remainder
comes out to be x + a, find the values of k and a.
Q10) Find all the zeroes of the polynomial p(x)= x4
- 4x3
- 25x2 + 16x+84 if two of its zeroes
are +2 and -2​

Answer 1

Answer:

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