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Kruka [31]
2 years ago
8

Evan graphed a cubic function, f(x) = ax3 + bx2 + cx + d, and determined the roots of f(x) to be +1 and 2. What is the value of

b, if a = 1
Mathematics
1 answer:
Lana71 [14]2 years ago
6 0

The value of b in the <em>cubic</em> polynomial is -4.

<h3>How to determine the coefficients of a cubic polynomial</h3>

After a quick analysis, we find that given <em>cubic</em> function is equivalent to the following equivalence:

x^{3}+b\cdot x^{2}+c\cdot x + d = (x-1)^{2}\cdot (x-2)

x^{3}+b\cdot x^{2}+c\cdot x + d = (x^{2}-2\cdot x + 1)\cdot (x-2)

x^{3}+b\cdot x^{2}+c\cdot x + d = x^{3}-2\cdot x^{2}+x-2\cdot x^{2}+4\cdot x-2

x^{3}+b\cdot x^{2}+c\cdot x + d = x^{3}-4\cdot x^{2}+5\cdot x -2

After a quick observation, we conclude that the value of b in the <em>cubic</em> polynomial is -4. \blacksquare

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/17822016

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3 years ago
Question. 1 :
vovikov84 [41]
<h3>Answer to Question 1:</h3>

AB= 24cm

BC = 7cm

<B = 90°

AC = ?

<h3>Using Pythagoras theorem :-</h3>

AC^2 = AB^2 + BC ^ 2

AC^2 = 24^2 + 7^2

AC^2 = 576 + 49

AC^2 = √625

AC = 25

<h3>Answer to Question 2 :-</h3>

sin A = 3/4

CosA = ?

TanA = ?

<h3>SinA = Opp. side/Hypotenuse</h3><h3> = 3/4</h3>

(Construct a triangle right angled at B with one side BC of 3cm and hypotenuse AC of 4cm.)

<h3>Using Pythagoras theorem :-</h3>

AC^2 = AB^2 + BC ^ 2

4² = AB² + 3²

16 = AB + 9

AB = √7cm

<h3>CosA = Adjacent side/Hypotenuse</h3>

= AB/AC

= √7/4

<h3>TanA= Opp. side/Adjacent side</h3>

=BC/AB

= 3/√7

4 0
2 years ago
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