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olga_2 [115]
3 years ago
15

Now complete the square for 2x^2 + 16x + 3.

Mathematics
1 answer:
o-na [289]3 years ago
4 0

Answer:

To complete the square the equation would be 2(x+4)^2-29

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Use the drawing tool(s) to form the correct answer on the provided number line.
miskamm [114]

Answer:

x= 1, x= 4, and x= -3

Step-by-step explanation:

Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.

Notice in particular that x = 1 is a root (makes f(1) = 0):

f(1)=x^3-2*1^2-11*1+12=1-2-11+12=13-13=0

So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.

As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: x^2-x-12

This is now a quadratic expression for which we can find its factor form:

x^2-x-12=x^2-4x+3x-12=x(x-4)+3(x-4)=(x-4)*(x+3)

From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.

Mark these values on the number line as requested.

7 0
3 years ago
Reflect the following points over the<br> x-axis. (-5, -3) (-2,-6) (-4,-8)
viktelen [127]

Reflect over x-axis rule: (x,y) -> (x,-y)

(-5,3) --> (-5,-3)

(-2,-6) --> (-2,6)

(-4,-8) --> (-4,8)

8 0
3 years ago
Amy can clean the interior of her car in 3 hours. If Amy and her husband work together,
leva [86]

Answer:

1 hour

Because 3 - 2  = 1.

Therefore, 1 hour only.

5 0
2 years ago
A, O and B lie on a straight line segment.
Helga [31]
180 is the degrees a straight line segment is. This means that
4x + 3x + 2x = 180.
Since these all have the same variable (x), then you can add the coefficients. (4,3,2)
9x = 180
180/9 = x

X = 20

6 0
3 years ago
Read 2 more answers
129931 Rounded to the nearest thousand
maks197457 [2]

13,000.......................hope it helps!

6 0
3 years ago
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