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(a) Find the remainder when f(x) is divided by (x + 2). (2) (b) Use the factor theorem to show that (x + 3) is a factor of f(x). (2) (c) Factorise f(x) completely. (4) (Total 8 marks) 10. f(x) = 2x3 – x2 + ax + b, where a and b are constants. It is given that (x – 2) is a factor of f(x). When f(x) is divided by (x + 1), the remainder is 6.
After the collision, the 200 g puck has a velocity of 1.00 m/s [53.00 N of W]. Calculate the velocity of the 300 g puck. Two balls of equal mass are involved in a glancing collision. Before the collision, the first ball is moving at a velocity of 1.00 m/s East and the second ball is at rest.
Revision notes on 1.2.6 Freefall for the CIE IGCSE Physics syllabus, written by the Physics experts at Save My Exams.
The Remainder Theorem Date_____ Period____ Evaluate each function at the given value. 1) f (x) = −x3 + 6x − 7 at x = 2 2) f (x) = x3 + x2 − 5x − 6 at x = 2 3) f (a) = a3 + 3a2 + 2a + 8 at a = −3 4) f (a) = a3 + 5a2 + 10 a + 12 at a = −2 5) f (a) = a4 + 3a3 − 17 a2 + 2a − 7 at a = 3 6) f (x) = x5 − 47 x3 − 16 x2 + 8x + 52 at ...
In order to study motion, we must first define some key quantities that describe motion in all its varieties. Position – the place where an object is relative to other objects (Vector Quantity) The Frame of Reference must be defined (or implied) in order to figure out an object’s position
Motion in one dimension (1D) In this chapter, we study speed, velocity, and acceleration for motion in one-dimension. One dimensional motion is motion along a straight line, like the motion of a glider on an airtrack.
understand the definition of a zero of a polynomial function. use long and synthetic division to divide polynomials. use the remainder theorem. use the factor theorem. Example 1: Use long division to find the quotient and the remainder: Steps for Long Division: 5593 ÷ 27.
