Polynomials
Trending Questions
If x+1x=7 then find the value of x3+1x3
0
1
2
3
If 125x=25/5 xfind x.
Which of the following expressions are polynomials? In case of a polynomial, write its degree.
(i) x5−2x3+x+√3
(ii) y3+√3y
(iii) t2−25t+√5
(iv) x1000−1
(v) 1√2x2−√2x+2
(vi) x−2+2x−1+3
(vii) 1
(viii) −35
(ix) x22−2x2
(x) 2√2x2−8
(xi) 12x2
(xii) 1√5x12+1
(xiii) 35x2−73x+9
(xiv) x4−x32+x−3
(xv) 2x3+3x2+√x−1
If 9^n×3^2×3^n-(27)^n÷3^3m×2^3=1/27, prove that m=1+n.
(a) (a − b) (b − c) (c −a)
(b) 3(a − b) (b − c) (c −a)
(c) −3(a − b) (b −c) (c − a)
(d) (a + b + c) (a2 + b2 + c2 − ab − bc − ca)
Why x raise to the power 0 is equal to 1?
Factorise
a6+b6
Factories y2−5y+6 by using splitting middle term.
Identify polynomials in the following :
(i) f(x) = 4x3 − x2 - 3x + 7
(ii) g(x) = 2x3−3x2+√x−1
(iii) p(x) = 27x2−74x+9
(iv) q(x) = 2x2−3x+4x+2
(v) h(x) = x4−x32+x−1
(vi) f(x) = 2 +3x+4x
If p(x)=x+4 then p(x)+p(−x)=?
(a) 0
(b) 4
(c) 2x
(d) 8
If p(x)=5−4x+2x2, find
(i) p(0)
(ii) p(3),
(iii) p(-2)
Define value of polynomial at a point.
If p(y)=4+3y−y2+5y3, find
(i) p(0),
(ii) p(2),
(iii) p(-1)
What is the degree of a constant term?
Find x if 27x =9/3x
Solve: x3−3x2−9x−5
Factorise:
25a^2-35a+12
(p-q)³ + (q-r)³ + (r-p)³
Factorise by splitting the middle term: 24x2 - 65x + 21
(3x- 7) ( 8x + 3)
(3x - 7) ( 8x - 3)
(3x + 7) ( 8x + 3)
(3x +7) ( 8x - 3)
Find
(a) (x2 + 2x + 2) (x2 − 2x + 2)
(b) (x2 + 2x + 2) (x2 + 2x + 2)
(c) (x2 − 2x − 2) (x2 − 2x + 2)
(d) (x2 + 2) (x2 − 2)
What is the coefficient of