For the polynomial x5 – 2x6 + 3, which of these statement(s) is true? Select all that apply A. The polynomial is a trinomial. B. The degree of the polynomial is 6. C. The leading coefficient is 1. D. Written in standard form, the polynomial is –2x6 + x5 + 3.

A, B and D

Step-by-step explanation:

A. The polynomial is a trinomial.

A trinomial refers to a polynomial with three terms. This option is correct.

B. The degree of the polynomial is 6.

Degree refers to the highest power in the polynomial. This option is correct.

C. The leading coefficient is 1

This is false. The leading coefficient is the coefficient of the variable bearing  the degree of the polynomial. This is wrong.

D. Written in standard form, the polynomial is –2x6 + x5 + 3.

This is correct.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

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