Question

If a polynomial p (x) is divided by (x-a) then remainder is
(a) f (0)
(b)f (-a)
(c) f (a)
(d) none
​

Answer 1

Answer:

Correct option is

B

p(a)

p(x)=(x-a)q(x)+r(x)

where q(x) is the quotient when f(x) is divided by x-a and r(x)

The Remainder Theorem says that we can restate the polynomial in terms of the divisor, and then evaluate the polynomial

x=a

hence putting it we get

p(a)=0*q(a)+r(a)

p(a)=r(a)

hence the remainder is p(a)

Answer 2

Given:

• 6x²+ 17 x + 5

Answer:

• Option (b) (2x+1) (3x+1) is the correct option.

To Find:

• Factorise 6x² + 17 x + 5 = ?

Solution:

•$\bold{6x² + 17 x + 5}$

$\bold{ =6x² + 15x +2x + 5}$

$\bold{ =3x(2x+5)+1(2x+5)}$

$\bold{ = (2x + 5)(3x + 1)}$