Question

x²+2x+1 factor of given polynomials


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Answer 1

Answer:

${x}^{2} + 2x + 1 \: is \: afactor \: of \: polynomials \\ when \: x = - 1$

Answer 2

Answer:

$\: \: \sf \: {x}^{2} + 2x + 1$

Now split the middle terms

$\: \: \sf \: {x}^{2} + x + x + 1$

Now take common number in equation

$\: \: \sf \: x(x + 1) + 1(x + 1)$

Again take common number

$\: \: \sf \: (x + 1)(x + 1)$

Now find the value of x.

$\: \: \sf \: x = - 1$

HenceForth,factor of given polynomials is -1.

Additional Information:

• Factor:-A number or algebraic expression that divides another number or expression.
• Polynomials:-Polynomials are algebraic expressions that consist of variables and coefficients.