Question

What quadratic expression represents (2x+5)(7-4x)

a.-8x^2+6x-35
b.-8x^2-34x+35
c.-8x^2+34x-35
d.-8x^2-6x+35

Answer 1

-8x² -6x + 35

Explanation:

A expression is given to us and we need to find out the quadratic equation . For that Multiply the two terms of the quadratic equation. The given expression is ,

Given expression :-

`\rm\implies ( 2x +5)( 7 - 4x )`

Multiply the terms :-

`\rm\implies 2x ( 7 - 4x )+5(7-4x)`

Simplifying the brackets :-

`\rm\implies 14x - 8x^2 + 35 - 20x`

Rearrange and simplify :-

`\rm\implies -8x^2 -6x + 35`

Therefore :-

`\rm\implies\boxed{ \rm Quadratic\ Equation \ = -8x^2 -6x + 35}`

Answer 2

Answer :)

• 
  `\sf{(2x+5)(7-4x) }`

• 
  `\sf{2x(7-4x)+5(7-4x) }`

• 
  `\sf{14x-8x^(2)+35-20x }`

• 
  `\sf{ -8x^(2)-6x+35 }`

`\\\\\\`

Therefore

• 
  `\sf{Option~ D ~is ~correct }`

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