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Answer:
The binomial: (x-2) (second option of the list) is a factor of the given trinomial
Step-by-step explanation:
You are looking for two binomial factors of the form; (x+a) and (x+b), with values "a" and "b" such that:
Their product "a times b" results in: "+14" (the numerical term in the initial trinomial
,
and their combining "a+b" results in "-9" (the coefficient in the middle term of the trinomial)
Such number "a" and "b" are: "-2" and "-7".
We can see by multiplying the binomials formed with these numbers:
(x-2) and (x-7) that their product indeed renders the original trinomial:

therefore, the binomials (x-2) and (x-7) are factors of the given trinomial.
The only one shown among the four possible options is then: (x-2)
Use the formula: (a - b)^2 = a^2 - 2ab + b^2.
=> (5s - 3)^2 = (5s)^2 - 2(5s)(3) + (3)^2 = 25s^2 - 30s +9
The list of options is mistyped, so you must use the right list of choices and find which is 25s^2 - 30s + 9.
Answer: 25s^2 - 30s + 9
C, 3 units translated to the left due to the +3 inside the bracket, vertically reflected on the x-axis as it is negative outside the bracket and translation 1 unit up because of the +1 outside the brackets.
½d + 3/8 = -2d
<span>-½d -½d</span>
<span>3/8 = -2 ½d</span>
<span>/(-2
½) /(-2 ½)</span>
<span>3/20 = d </span>