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(A) To factorise the quadratic polynomial $x^{2}+2x-143$,we need to find two numbers whose product is $-143$ and whose sum is $2$.Let the two numbers

Vedclass · Accepted Answer

$(x+13)(x-11)$

Vedclass · Answer

(A) To factorise the quadratic polynomial $x^{2}+2x-143$,we need to find two numbers whose product is $-143$ and whose sum is $2$.Let the two numbers be $a$ and $b$.We have $a 	imes b = -143$ and $a + b = 2$.Factors of $143$ are $1, 11, 13, 143$.Considering the signs,we look for $13$ and $-11$ because $13 	imes (-11) = -143$ and $13 + (-11) = 2$.Now,split the middle term $2x$ as $13x - 11x$:$x^{2} + 13x - 11x - 143$Group the terms:$(x^{2} + 13x) - (11x + 143)$Factor out the common terms:$x(x + 13) - 11(x + 13)$Finally,factor out $(x + 13)$:$(x + 13)(x - 11)$

Factorise the following quadratic polynomial by splitting the middle term:
$x^{2}+2x-143$

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Factorise the following quadratic polynomial by splitting the middle term:$x^{2}+2x-143$