(B) 3x -4x+3 (C) 2x +3x-4 (D) 3x -4x-3 Ans: As dividend = (divisor × quotient)+remainder ( )()2p xx -4 ×x +3⇒ ( )2p x =x -4x+3⇒ Therefore, polynomial p(x) is 2x -4x+3. 7. In Figure-2, DE || BC. If AD 3=DB 2 and AE = 2.7 cm, then EC is equal to 1 Mark (A) 2.0 cm (B) 1.8 cm (C) 4.0 cm (D) 2.7 cm

The degree of the remainder r(x) when p (x) = bx3 + cx + d is divided by a polynomial of degree 4 is ​a.less than 4b.less than 3c.equal to 3d.less than or equal to 3

f(x)=2x3−3px2+x+4pwhere p is an integer. Given that (x−4)is afactor off(x) .(a) Calculate the value of p . Using the value of p,(b) find the remainder when f(x)  is divided by (x+2)( c ) factorise f(x) completely

Use polynomial long division to perform the indi-cated division. Write the polynomial in the form p(x) = d(x)q(x) + r(x).(a) (5x4 − 3x3 + 2x2 − 1) ÷ (x2 + 4)(b) (−x5 + 7x3 − x) ÷ (x3 − x2 + 1)(c) (9x3 + 5) ÷ (2x − 3)(d) (4x2 − x − 23) ÷ (x2 − 1)

If 4x2 - 6x - m is divisible by x - 3, the value of m is exact divisor ofa.9b.45c.20d.36

The value of m for which x – 2 is a factor of the polynomial x4 – x3 + 2x2 – mx + 4 is :-a.10b.- 10c.4d.9