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3 years ago

15

Define a cubic polynomial and a binomial use only one variable in each). Show how to use the Vertical Method to multiply these t

wo.pls Quick I do not wanna FAIL

1 answer:

Sedbober [7]3 years ago

8 0

Cubic polynomial

${x}^{3} + {2x}^{2} - 5x - 10$

Binomial

$2x - 3$

By vertical method of multiplication we get,

${2x}^{4} + {x}^{3} - {16x}^{2} - 5x + 30$

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What is the value of k if 2x^3-3x^2+kx-4 is divided by x-3 and gives a remainder of -7?

Alik [6]

By the polynomial remainder theorem, the remainder upon dividing a polynomial $p(x)$ by $x-c$ is the same as the value of $p(c)$ .

Here $p(x)=2x^3-3x^2+kx-4$ and $c=3$ . We have

$p(3)=23+3k=-7\implies k=-10$

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3 years ago

Name each set of numbers illustrated.

shtirl [24]

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3 years ago

What are the answers for 7 and 8??? please help

wolverine [178]

Answer:

7.)

Therefore FT is 33 unit.

8.)

Therefore SU is 98 unit.

Step-by-step explanation:

7.)

Given:

ΔFUT ~ ΔFHG

FU = 39

FH = 130

FG = 110

To Find:

FT = ?

Solution:

ΔFUT ~ ΔFHG ............Given

If two triangles are similar then their sides are in proportion.

$\dfrac{FU}{FH} =\dfrac{FT}{FG} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{39}{130} =\dfrac{FT}{110}\\\\FT=\dfrac{110\times 39}{130}=33\\FT=33\ unit$

Therefore FT is 33 unit.

8.)

Given:

ΔSTU ~ ΔFED

ST= 63

FE = 9

FD = 14

To Find:

SU = ?

Solution:

ΔSTU ~ ΔFED ............Given

If two triangles are similar then their sides are in proportion.

$\dfrac{ST}{FE} =\dfrac{SU}{FD} \textrm{corresponding sides of similar triangles are in proportion}\\$

Substituting the values we get

$\dfrac{63}{9} =\dfrac{SU}{14}\\\\SU=\dfrac{882}{9}=98\\\\SU=98\ unit$

Therefore SU is 98 unit.

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Answer:

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