Question

10.find the factors of the following trinomials.
(i).5(x+2)(x+2)+6(x+2)+1

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Answer 1

Answer:

5(x+2)(x+2)+6(x+2)+1

5(X2+4+4x)+6x+12+1

5x2+20+20x+6x+13

5x2+33+26x

rearranging the equation

5x2 + 26x + 33

5x2 +15x + 11x +33

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

(5x+11)(x+3)

these are the factors.

Thank you .