Factorise X2 4X 3 - Maths Q-A

Factorizing the polynomial:x^2+4x+3=x^2+3x+x+30ex0ex=x(x+3)+1(x+3)0ex0ex=(x+3)(x+1)Hence the factor of the polynomial x^2+4x+3 are (x+3) and(x+1). ...

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Division Algorithm for a Polynomial

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Question

Factorise $x^{2} + 4 x + 3$

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Solution

Factorizing the polynomial:
$x^{2} + 4 x + 3$
$= x^{2} + 3 x + x + 3 = x (x + 3) + 1 (x + 3) = (x + 3) (x + 1)$
Hence the factor of the polynomial $x^{2} + 4 x + 3$ are $(x + 3)$ and $(x + 1)$ .

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Factorise x2+4x+3

Factorizing the polynomial:x2+4x+3=x2+3x+x+3=x(x+3)+1(x+3)=(x+3)(x+1)Hence the factor of the polynomial x2+4x+3 are x+3 andx+1.

Factorise $x^{2} + 4 x + 3$

Factorizing the polynomial:
$x^{2} + 4 x + 3$
$= x^{2} + 3 x + x + 3 = x (x + 3) + 1 (x + 3) = (x + 3) (x + 1)$
Hence the factor of the polynomial $x^{2} + 4 x + 3$ are $(x + 3)$ and $(x + 1)$ .