Question

factorise x^3+x^2+x-3​

Answer 1

$\huge\boxed{\fcolorbox{black}{grey}{Hi mate!}}$

${x}^{3} + {x}^{2} + x - 3$

First, group the two terms on the left and the two terms on the right as-

$( {x}^{3} + {x}^{2} ) + (x + 1)$

Now,factor out an x^2 from the term on the left to -

$(( {x}^{2} \times x) + ( {x}^{2} \times 1) + (x + 1) \\ {x}^{2} (x + 1) + (x + 1) \\ {x}^{2} (x + 1) + 1(x + 1) \\ (x + 1)( {x}^{2} + 1)$

Thank You _☺️_

Answer 2

x³+x²+x-3=(x−1)(x²+2x+3)