Mathematics: Which of the binomials below is a factor of this trinomial? x2 + 14x+ 40 2 + 10 Β. χ+ 4 C. x-9 D. χ + 14 SUBMIT

There are 1393.55 square centimeters in 1.5 square feet....

Which of the binomials below is a factor of this

Ответ:

bryan9892

20.01.2022

Mathematics

The binomials factor of given is (x + 4) and (x + 10)

Solution:

Given is:

x^2 + 14x + 40

Factor the above polynomial

From given,

x^2 + 14x + 40

$Split\ the\ middle\ term\\\\x^2 + 4x + 10x + 40\\\\Break\:the\:expression\:into\:groups\\\\\left(x^2+4x\right)+\left(10x+40\right)$

$\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+4x\mathrm{:\quad }x\left(x+4\right)\\\\x(x + 4) + (10x + 40)\\\\\mathrm{Factor\:out\:}10\mathrm{\:from\:}10x+40\mathrm{:\quad }10\left(x+4\right)\\\\x(x + 4) + 10(x + 4)\\\\\mathrm{Factor\:out\:common\:term\:}x+4\\\\\left(x+4\right)\left(x+10\right)$

Thus, the binomials factor of given is (x + 4) and (x + 10)

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Which of the binomials below is a factor of this trinomial?
x2 + 14x+ 40
2 + 10
Β. χ+ 4
C. x-9
D. χ + 14
SUBMIT

Ответ:

Ответ:

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