Question

5x2 + 31x - 28 by 5x - 4
divide by factorisarion​

Answer 1

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⠀ ❥Hɛʀɛ ɨs ʊʀ Aռֆաɛʀ

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$\large \frac{ {5x}^{2} + 31x - 28 }{5x - 4}$

$\large \frac{ {5x}^{2} + 35x - 4x - 28}{5x - 4}$

$\large \frac{5x(x + 7) - 4(x + 7)}{5x - 4}$

$\large\frac{(x + 7)(5x - 4)}{5x - 4}$

Reduce fraction with 5x - 4

$= (x + 7)$

${\large{\boxed{\purple{✏More\: Information}}}}$

• What is a Term?

It is something which is to be added or subtracted (subtracting is adding a negative number).

• What is a Factor?

It is something that is to be multiplied.

• Splitting the middle term is a method for factoring quadratic equations. By the end of this section we'll know how to write quadratics in factored form.

Answer 2

$\star\:\:\:\bf\large\underline\blue{Question:-5x²+31x-28/5x-4}$

$\star\:\:\:\bf\large\underline\blue{Answer:–x+7}$

$\red{\bold{\underline{\underline{☞︎︎︎Step–by–step\: explanation:—}}}}$

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5x²+31x-28/5x-4

= 5x²+(35-4)x-28/5x-4

= 5x²+35x-4x-28/5x-4

= 5x(x+7)-4(x+7)/5x-4

= (x+7)(5x-4)/5x-4

= x+7

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$\orange{\bold{\underline{\underline{♡︎Hope\:it\: helps\:you\:mate♡︎}}}}$