All categories

3 years ago

Determine whether each binomial is a factor of x^3+3x^2-10x-24

1 answer:

4 0

A binomial is a polynomial equation with two terms, each of which is a monomial usually joined by a plus or minus sign. Polynomials with one term is called monomial and could look like this, 9x while a binomial could look like this 2x + 8.

Yes! It true that each binomial is a factor of x^3+3x^2-10x-24. Here’s why,

<span>Quotient: x^2 + 6x + 8
Factor:(x+4)(x+2)</span>

Factor Form: (x-3)(x+4)(x+2)

You might be interested in

Given: ABCD is a trapezoid, AB=CD, MN is a midsegment, MN=30, BC=17, AB=26 Find: m∠A, m∠B, m∠C, and m∠D

enyata [817]

Answer:

The measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

Step-by-step explanation:

Given information:AB=CD, MN is a midsegment, MN=30, BC=17, AB=26

Since two opposites sides are equal, therefore we can say that two no parallel sides are equal.

The length of midsegment is average of length of parallel lines.

$MN=\frac{AD+BC}{2}$

$30=\frac{AD+17}{2}$

$60=AD+17$

$43=AD$

Draw perpendiculars on AD from B and C. Let angle A be θ. D

$AD=AE+EF+FD$

Since ABCD is an isosceles trapezoid, therefore AE=FD and EF=BC

$AD=AE+EF+AE$

$43=2(AE)+17$

$26=2(AE)$

$13=AE$

$\cos\theta=\frac{base}{hypotenuse}$

$\cos\theta=\frac{AE}{AB}$

$\cos\theta=\frac{13}{26}$

$\cos\theta=\frac{1}{2}$

$\theta=\cos^{-1}\frac{1}{2}$

$\theta=60$

Since ABCD is an isosceles trapezoid, therefore angles A and D are same. Angle B and C are same.

$\angle A=\angle D=60^{\circ}$

The sum of two consecutive angles of a trapezoid is 180 degree by consecutive interior angle theorem.

$\angle A+\angle B=180^{\circ}$

$60^{\circ}+\angle B=180^{\circ}$

$\angle B=120^{\circ}$

$\angle B=\angle C=120^{\circ}$

Therefore measures of angle ∠A, ∠B, ∠C, and ∠D are 60, 120, 120 and 60 degree respectively.

3 0

3 years ago

(Pts: 1) Please help me! Question is in attachment!

Sloan [31]

- - Solve:

To find the volume of a sphere:
$\frac{4}{3} *3.14*R^3$

3.14≈π

Now since its telling us to use π, then we do our formula by multiplying by π.

π=3.14 (Approximate amount)

So:

$4/3*3.14*9^3=3052.08$

So you are correct.

When Radius=9, you plug in for R. :)

8 0

4 years ago

Read 2 more answers

The product of a number X and six is for more than the product of the number and 3/8. Which answer represents this situation?

stiks02 [169]

Answer:3/8y+(6x+4)

Step-by-step explanation:

I’m 99% sure to is is right

6 0

3 years ago

Which inverse operation would be used to verify the following equation? 102 ÷ 3 = 34

MA_775_DIABLO [31]

An inverse operations is the reverse of the equation. For example, since it's 102 ÷ 3 = 34, to get the inverse you would take the opposite sign of "÷" and make it "×," while changing the equal sign to make the statement true. The inverse operation used to verify this is 102 = 3 × 34

5 0

3 years ago

A circle has radius 50 cm. Which of these is closest to its area?

olga55 [171]

Answer:

7854 cm²

Step-by-step explanation:

3.14 x 50² = 7850

4 0

3 years ago