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1 mark

Coefficient of x in (x+9)(8−5x) is:

  1. A
    37
  2. B
    -53
  3. C
    -37
  4. D
    53

Solution & Step-by-step Explanation

Let's expand the given expression (x+9)(8−5x) by multiplying the terms:
(x+9)(8−5x)=x(8)+x(−5x)+9(8)+9(−5x)
=8x−5x
2
+72−45x
Combine the like terms (the terms containing x):

=−5x
2
+(8x−45x)+72
=−5x
2
−37x+72
The coefficient of x in this polynomial expression is −37.

Practice this question

Try it yourself before checking the explanation above.

Coefficient of x in (x+9)(8−5x) is:
A
37
B
-53
C
-37
D
53

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