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pochemuha
3 years ago
5

Factor the expression. x^2 – x – 42

Mathematics
1 answer:
IgorC [24]3 years ago
5 0
X^2 - x - 42 = x^2 - 6x + 7x - 42 = x( x - 6) + 7(x - 6) = (x-6)(x+7);
The correct answer is a.
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Answer:

Option C is correct.

Step-by-step explanation:

y = x^2-x-3     eq(1)

y = -3x + 5      eq(2)

We can solve by substituting the value of y in eq(2) in the eq(1)

-3x+5 = x^2-x-3

x^2-x+3x-3-5=0

x^2+2x-8=0

Now factorizing the above equation

x^2+4x-2x-8=0

x(x+4)-2(x+4)=0

(x-2)(x+4)=0

(x-2)=0 and (x+4)=0

x=2 and x=-4

Now finding the value of y by placing value of x in the above eq(2)

put x =2

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y = -3(2) + 5

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y = -1

Now, put x = -4

y = -3x + 5

y = -3(-4) + 5

y = 12+5

y =17

so, when x=2, y =-1 and x=-4 y=17

(2,-1) and (-4,17) is the solution.

So, Option C is correct.

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