All categories

2 years ago

Using factor theorem , show that (x -4) is a factor 2x3 + x2 -26x - 40 and hence factorize completely.

Mathematics

1 answer:

notka56 [123]2 years ago

7 0

Step-by-step explanation:

if x-4 is a factor of 2x^3 + x^2- 26x - 40

then f(4) = 0

f(x) = 2x^3 + x^2- 26x - 40

f(4) = 2(4)^3 + (4)^2 - 26(4) - 40

f(4)= 2(64) + 16 - 104 - 40

f(4) = 128 + 16 - 104 - 40

f(4) = 0

hence factorize completely is the photo

You might be interested in

In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>

Lemur [1.5K]

In both cases,

$AB^2=AD^2$

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

$(4x+7)^2=(6x-3)^2$

$16x^2+56x+49=36x^2-36x+9$

$20x^2-92x-40=0$

$5x^2-23x-10=0$

$(5x+2)(x-5)=0\implies\boxed{x=5}$

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

$(4x^2-18x-10)^2=(x^2+x+4)^2$

$16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16$

$15x^4-146x^3+235x^2+352x+84=0$

$(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}$

(again, omit the solutions that would give a negative length for either AB or AD)

7 0

3 years ago

Raymond uses the Venmo

Arisa [49]

Answer:

2.29

Step-by-step explanation:

2.95 plus 1.26 is 4.21, and 6.50 minus 4.21 is 2.29.

5 0

3 years ago

Use distributive property to create an equivalent expression to 7x + 56

OverLord2011 [107]

You will have to factor this equation. This means you have to find the lowest number that goes into both 7 and 56 (in other terms, gcf(7, 56)). You will put that as the leading coefficient in this factored term. gcf(7,56) = 7 so 7 will be leading coefficient. It will look somewhat like this 7(a + b) (a and b are just random variables representing what will go inside the parentheses). a and b can be determined by dividing each term in this expression by 7. Hence,
7x + 56 = 7(x + 8).This can obviously also be proven by the distributive property.

7 0

2 years ago

Read 2 more answers

Which numbers below are part of the domain for this graph? Select all that apply.

olya-2409 [2.1K]

The numbers which are a part of the domain for the graph are: 6, 1 and 2.

<h3>Which numbers are part of the domain?</h3>

The domain of a graph is a set of all possible input, x-values. Consequently, since the domain of the graph given ranges over intergers, 1 to 10, it follows that numbers which are part of the domain are; 6, 2, and 1.