Using division show that `3y^2+5` is factor of `6y^5+15 y^4+16 y^3+4y^2+10 y-35.`

Using division show that 3y^(2)+5 is factor of 6y^(5)+15y^(4)+16y^(3)+4y^(2)+10y-35

Using division of polynomials state whether x+6 i s fa c tor of x^2-x-42 4x-1 i s a fa c tor of 4x^2-13 x-12 2y-5 i s fa c tor of 4y^4-10 y^3 10^2+30 y-15 3y^2+5 i s fa c tor of 6y^5+15^4+16^3+4y^2+10 y-35

Factorize: 54 x^6y+2x^3y^4

If y+2m is a factor of y^(5)-4m^(2)y^(3)+2y+2m+3 then value of is-

Divide the first polynomial by the second using synthetic division and linear division method , and write the quotient and remainder : ( 2 y^4 - 3y^3 + 5y -4 ) , ( y - 1 )

Add : 4y (3y^2 + 5y – 7) and 2 (y^3 – 4y^2 + 5)

Multiply : 2y - 4y^(3) + 6y^(5) by y^(2) + y - 3

Show that: (x^2+y^2)^5=(x^5-10x^3y^2+5xy^4)^2+(5x^4 y-10x^2y^3+y^5)^2

Subtract 5x^2 - 4y^2 + 6y - 3 from 7x^2 - 4xy + 8y^2 + 5x - 3y .

Factorise (Using factor theorem ) 3y^(3)+2y+5