How do you find the quotient of #(x^2+x-20)div(x-4)#?

Answer 1

#x+5#

#color(white)(wwwww)x+5# #x-4 )bar(x^2+x-20)# #color(white)(www)ul(color(red)(-)x^2color(red)(+)4x)" "larr# subtract #color(white)(wwwwwwww)5x-20# #color(white)(wwn.....ww)color(red)(-)ul(5xcolor(red)(+)20)# #color(white)(wwwwwwwwwwwwww)0" "# remainder
#(x^2 +x-20) div (x-4) = x+5#
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Answer 2

#x+5#

#"factorise the numerator and simplify"#
#rArr(x^2+x-20)/(x-4)#
#=((x+5)cancel((x-4)))/cancel((x-4))#
#=x+5larrcolor(red)" quotient"#
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Answer 3

Factorise and cancel like factors.

#x+5#

In a division such as #48 div 6#, we could find the quotient by finding factors:
#48/6 = (8 xx 6)/6" "larr# like factors can cancel #" "6/6 =1#
#(8 xx cancel6)/cancel6 = 8#

In the same way we can find the quotient by factorising the numerator:

#(x^2 +x -20)/((x-4)) = ((x+5)(x-4))/((x-4))#

Cancel the like factors:

# ((x+5)cancel((x-4)))/cancel((x-4))#
# = x+5#
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Answer 4

To find the quotient of (x^2+x-20) divided by (x-4), you can use long division or synthetic division.

Using long division:

  • Divide x^2 by x, which gives x.
  • Multiply (x-4) by x, which gives x^2-4x.
  • Subtract (x^2-4x) from (x^2+x-20), which gives 5x-20.
  • Divide 5x by x, which gives 5.
  • Multiply (x-4) by 5, which gives 5x-20.
  • Subtract (5x-20) from (5x-20), which gives 0.

Therefore, the quotient is x+5.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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