Question

Factorise the following:
a) x² + 10x + 16 answer

Answer 1

(x+2)(x+8)

Explanation:

two numbers that multiply to 16 and add up to 10 is 2 and 8. You just plug both numbers in this factored form (x+ n1)(x+n2). if you chech the answer by multiplying the binomials, you will find out that the answer is the original question (x^3 +10x+16).

Answer 2

Factorization of polynomials

Factoring polynomials is breaking them down to the products of other smaller polynomials. Identifying the greatest common divisor (GCF) is an important first step because it will reduce the number of factors in each term and thus make factoring easier. In addition to polynomials, it can be factored by decomposition of the intermediate term or by difference of squares. Then, the Zero Product Property can be applied to solve the equation.

x² + 10x + 16

Use the sum-product pattern.

x² + 8x + 2x + 16

Extract the common factors.

x (x + 8) + 2(x + 8)

Rewrite factored

( x + 2 ) ( x + 8 ) ===> Answer

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