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Charra [1.4K]
3 years ago
10

When using the inspection method, which number would you add to (and subtract from) the constant term of the numerator in this e

xpression so the polynomial in the numerator will have (x+4) as a factor?
x^2+7x+15/x+4
Mathematics
1 answer:
olasank [31]3 years ago
3 0
If i were you, i would add one to 7x and fifteen. this gives you x^2+8x+16, a perfect square of x+4.
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Step-by-step explanation:

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You start by placing the c in the top left corner, then list all the coefficients of your dividend [x³ - 5x² + 7x - 12]. You bring down the original term closest to c then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an {x}^{2}, the −1 [x] follows right behind it, and bringing up the rear, comes the 3, giving you the quotient of {x}^{2} - x + 3.

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