Given that `x^2+x-6` is a factor of `2x^4+x^3-ax^2+b x+a+b-1,` find the value of `aa n dbdot`

If ("lim")_(xvec0)(a e^x-b)/x = 2 , then find the value of aa n dbdot

If the curve y=a x^2-6x+b pass through (0,2) and has its tangent parallel to the x-axis at x=3/2, then find the values of aa n dbdot

If the expression a x^4+b x^3-x^2+2x+3 has remainder 4x+3 when divided by x^2+x-2, find the value of aa n dbdot

If x^(2) + x + 1 is a factor of the polynomial 3x^(3) + 8x^(2) + 8x + a, then find the value of a.

If x=1a n dx=2 are solutions of equations x^3+a x^2+b x+c=0a n da+b=1, then find the value of bdot

If f(x)=x^3+x^2-a x+b is divisible by x^2-x , then find the value of a and b

If ("lim")_(xvecoo){(x^2+1)/(x+1)-(a x+b)}=0, then find the value of aa n dbdot