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dimulka [17.4K]
3 years ago
11

(x+2) is one of the factors of the polynomial x³+13x²+32x+20. Find its remaining factors.

Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

x^2+11x+10

or

(x+1)(x+10) since you can factor x^2+11x+10

Step-by-step explanation:

Let's do synthetic division.

We are dividing by x+2, so -2 will be on the outside. Like this:

-2 |         1          13          32         20

   |                     -2        -22         -20

   |___________________________

             1          11           10            0

The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.

The other factor we found by doing this is (x^2+11x+10).

You can find more factors by factoring x^2+11x+10.

Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).

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Keith_Richards [23]

Answer:

y=\frac{7}{2}x+11

Step-by-step explanation:

To solve, we need to find the y-intercept (b). In order to find the y-intercept, we can plug in the slope and the (x,y) coordinate pair given to us into the equation to solve for the y-intercept:

y=mx+b

4=(-7/-2)*-2+b

4=14/-2+b

4=-7+b

Add 7 to both sides

b=11

Therefore the equation is:

y=\frac{7}{2}x+11 (note that the fraction is positive since the two negatives cancel out)

4 0
2 years ago
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Answer:

c=\sqrt{52}

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using pythagorean theorem

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4 0
3 years ago
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