Polynomials

Polynomials  $2x^3+5x^2+ax+b$  divided by x+1 has a remainder 1 and if divided by x-2 has a remainder 43. The value of a + b = ...

• -4

• -2

• 0

• 2

• 4

Given polynomial  $f\left(x\right)=2x^5+3x^4-5x^2+x-7$  . The value for that polynomial if x = -2 is ...

• -90

• -45

• 0

• 45

• 90

Given polynomial  $f\left(x\right)=5x^3-4x^2+3x-2$  . The value of  $5f\left(4\right)-4f\left(3\right)=...$  

• 900

• 902

• 904

• 906

• 908

The quotient for      $\frac{\left(x^5-32\right)}{\left(x-2\right)}$  is ...

•  $x^4+6x^3+4x^2+8x+16$  

•  $x^4+5x^3+4x^2+8x+16$  

•  $x^4+4x^3+4x^2+8x+16$  

•  $x^4+3x^3+4x^2+8x+16$  

•  $x^4+2x^3+4x^2+8x+16$  

If  $x^3-4x^2+px+6$  and  $x^2+3x-2$  divided by  $\left(x+1\right)$  has a same remainder, the value of p is ...

• -5

• -3

• 1

• 3

• 5

Polynomial  f(x) if divided by (x-3) has a remainder 8 and if divided by (x+2) has a remainder -7. If the polynomials divided by  $x^2-x-6$  the remainder is ...

• 3x + 1

• 3x - 1

• x - 3

• x + 3

• 1 - 3x

The remainder of      $f\left(x\right)=x^4+x^3-2x^2+x+2$  if divided by x + 2 is ...

• -6

• -4

• -2

• 0

• 2

One factor of        $2x^3-5x^2-px+3$  is (x + 1). Another factors are ...

• (x - 2) and (x - 3)

• (x + 2) and (2x - 1)

• (x + 3) and (x + 2)

• (2x + 1) and (x - 3)

• (2x - 1) and (x - 3)

If polynomial      $x^3-12x+k$  is divided out by  $\left(x-2\right),$  so that polynomials is divided out by ...

•  $x-1$  

•  $x+1$  

•  $x+2$  

•  $x-3$  

•  $x+4$  

if    $\left(2x+1\right)$  is a factor from     $2x^5-3x^4+7x^2-x+p$  , so the value for  $p^2+p$  equals ...

• 6

• 4

• 2

• 1

• -2