1. Factor 3x2 + 6x if possible. - 11. Factoring and solving equations
Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) . ~3 + 3x2 - 4 = (x-I)(x~ + 4x + 4). x3 - .2. But x2 + 4x + 4 can be. 4x2 + Ox - 4.
factoring and solving equations
3.2 The Factor Theorem and The Remainder Theorem
x3 + 4x2 - 5x - 14 = (x - 2)q(x) where q(x) is some other polynomial. The Remainder Theorem: Suppose p is a polynomial of degree at least 1.
S&Z .
Solving Polynomial Equations
In this Section you will learn how to factorise some polynomial expressions and solve some polynomial (x − 1)(x2 + 3x − 7) = x3 + 2x2 − 10x + 7.
Solving polynomial equatns
Topic #1: Evaluating and Simplifying Algebraic Expressions
Factor the trinomial or state that the trinomial is prime. 23) x2 - 12x + 27. 23). A) (x + 9)(x - 3). B)
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polynomials
divided by x 1 the remainder is -36. a) Show that p = 6 and q = −10. b) Factorise 6x3 - x2 - 31x - 10. (6). (3). 4.a) if (x+2) is a factor f(2) =0.
Polynomials Answers
Mathcentre
This equation has three real roots all different - the solutions are x = 1
mc ty cubicequations
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Double root: x-9=x(x-5). -x+9x25x-x+q. 0=x²-6x+9. (x-3)(x-3)= x-3=0 x-3=0. X=3 X=3. Solve the equations by factoring. Exercise 1: 3x+2=0 x = -2/3.
. Solving Quadratic Equations
Zeros of a Polynomial Function
Example 2: Find all real zeros of the polynomial P(x) = 2x. 4. + x. 3. – 6x. 2. – 7x – 2. Solution: Step 1: First list all possible rational zeros using the
math zeros of polynomials
Expanding brackets and simplifying expressions
To factorise a quadratic equation find two numbers whose sum is b and whose x = 3 k x = 1. 2. - or x = 4 l x = 2. 3. - or x = 5. 2 a x = –2 or x = 5.
Edexcel transistion from GCSE to A level files( )
PURE MATHEMATICS 2 MATICS 2
x. 1 ALGEBRAIC METHODS. 1. 2 COORDINATE GEOMETRY IN THE (x y) PLANE Factorise: x2 + 6x + 5 = (x + 5)(x + 1) and ... 1 x2 x 3 + 2 x 2 − 17x + 6.
iAL Pure Maths SB