Question

(i) 5(x + 2)2 + 6(x+2)+1
(ii) 2(m +2n)2 +5(m +2n) +2
find the factors of following trinomials​

Answer 1

(i)

let (x+2) be m

5m^2 +6m +1

5m^2 +5m+ m +1

5m(m+1) + 1 (m + 1)

(m + 1 )(5m + 1)

resubstuting m = (x + 2)

(x + 2 + 1)* (5*[x + 2] + 1)

(x + 3) * (5x + 10 + 1)

(x + 3) * (5x + 11)

(ii)

let (m+2n) be x

2x^2 +5x + 2

2x^2 +4x+ x +2

2x(x + 2) + 1 (x + 2)

(x + 2)(2x + 1)

resubstuting x = (m + n2)

(m + 2n + 2)* (2*[n + 2m] + 1)

(m + 2n + 2) * (2n + 2m^2 + 1)

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