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erastova [34]
3 years ago
9

Consider the polynomial f(x)=2x^5-3x^4+x-6 (x )equals 2 x Superscript 5 Baseline minus 3 x Superscript 4 Baseline plus x minus 6

. Write the degree of this​ polynomial, its leading​ term, its leading​ coefficient, and its constant term.
Mathematics
1 answer:
melamori03 [73]3 years ago
3 0

Answer:

degree of polynomial = 5

leading term = 2x^{5}

leading coefficient = 2

constant term = -6

Step-by-step explanation:

f(x) = 2x^{5}-3x^{4}+x-6

(i) The degree of the polynomial = 5. That is, the highest power of x

(ii) Leading term = 2x^{5}. This is the term with the highest power of x.

(iii) Leading Coefficient = 2. That is, the coefficient of the leading term (2x^{5})

(iv) Constant term = -6. This is the term that is independent of x or the term in which x doesn't appear.

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mote1985 [20]

Answer:

<1  and <6 = 98

<2 and <3 = 139

<4 and <5 = 123

Step-by-step explanation:

82 + 9x - 6 + 6x - 1 = 180

15x + 75 = 180

15x = 105

x = 7

<1:

x + 82 = 180

x = 98

<2:

6x - 1 = 6(7) - 1 = 41

x + 41 = 180

x = 139

<3 = <2 because of vertical angle thm so <3 = 139

<5:

9x - 6 = 9(7) - 6 = 57

x + 57 = 180

x = 123

<4 = 5 because of vertical angle thm

<6 = <1 because of vertical angle thm

8 0
2 years ago
One solution to a quadratic function, h, is given.
Margaret [11]

Answer:

B. The other solution to function h is -4-i\,7.

Step-by-step explanation:

From Algebra, we remember that quadratic functions of the form a\cdot x^{2}+b\cdot x + c has solutions of the form:

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Hence, if one solution of the quadratic function is -4+i\,7, then the other solution is -4-i\,7. The correct answer is B.

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3 years ago
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