Hi guys please answer the above question
write each of the following polynomials in Standard form also write it's degrees .
and please explain completely I will mark you brain list
no Spammers please
Answers
Step-by-step explanation:
HEY MATE YOUR ANSWER IS HERE ^_^
IT CAN BE WRITTEN AS
x(x+3/4) + 2/3(x+3/4)
x^2 + 3/4x + 2/3x + 1/2
x^2 + 17/12x + 1/2
THE POLYNOMIAL IS OF DEGREE 2
PLEASE MAKE ME A BRAINLIST ANSWER FOR THE QUESTION.
Answer:
1
Distribute
(
+
2
3
)
(
+
3
2
)
{\color{#c92786}{(x+\frac{2}{3})(x+\frac{3}{2})}}
(x+32)(x+23)
(
+
3
2
)
+
2
3
(
+
3
2
)
{\color{#c92786}{x(x+\frac{3}{2})+\frac{2}{3}(x+\frac{3}{2})}}
x(x+23)+32(x+23)
2
Distribute
(
+
3
2
)
+
2
3
(
+
3
2
)
{\color{#c92786}{x(x+\frac{3}{2})}}+\frac{2}{3}(x+\frac{3}{2})
x(x+23)+32(x+23)
2
+
3
2
+
2
3
(
+
3
2
)
{\color{#c92786}{x^{2}+\frac{3}{2}x}}+\frac{2}{3}(x+\frac{3}{2})
x2+23x+32(x+23)
3
Combine multiplied terms into a single fraction
2
+
3
2
+
2
3
(
+
3
2
)
x^{2}+\frac{3}{2}x+\frac{2}{3}(x+\frac{3}{2})
x2+23x+32(x+23)
2
+
3
2
+
2
3
(
+
3
2
)
x^{2}+\frac{3x}{2}+\frac{2}{3}(x+\frac{3}{2})
x2+23x+32(x+23)
4
Find common denominator
2
+
3
2
+
2
3
(
+
3
2
)
x^{2}+\frac{3x}{2}+\frac{2}{3}(x+\frac{3}{2})
x2+23x+32(x+23)
2
2
2
+
3
2
+
2
3
(
+
3
2
)
\frac{2x^{2}}{2}+\frac{3x}{2}+\frac{2}{3}(x+\frac{3}{2})
22x2+23x+32(x+23)
5
Combine fractions with common denominator
2
2
2
+
3
2
+
2
3
(
+
3
2
)
\frac{2x^{2}}{2}+\frac{3x}{2}+\frac{2}{3}(x+\frac{3}{2})
22x2+23x+32(x+23)
2
2
+
3
2
+
2
3
(
+
3
2
)
\frac{2x^{2}+3x}{2}+\frac{2}{3}(x+\frac{3}{2})
22x2+3x+32(x+23)
6
Combine multiplied terms into a single fraction
2
2
+
3
2
+
2
3
(
+
3
2
)
\frac{2x^{2}+3x}{2}+\frac{2}{3}(x+\frac{3}{2})
22x2+3x+32(x+23)
2
2
+
3
2
+
2
(
+
3
2
)
3
\frac{2x^{2}+3x}{2}+\frac{2(x+\frac{3}{2})}{3}
22x2+3x+32(x+23)
7
Distribute
2
2
+
3
2
+
2
(
+
3
2
)
3
\frac{2x^{2}+3x}{2}+\frac{{\color{#c92786}{2(x+\frac{3}{2})}}}{3}
22x2+3x+32(x+23)
2
2
+
3
2
+
2
+
3
3
\frac{2x^{2}+3x}{2}+\frac{{\color{#c92786}{2x+3}}}{3}
22x2+3x+32x+3
8
Find common denominator
2
2
+
3
2
+
2
+
3
3
\frac{2x^{2}+3x}{2}+\frac{2x+3}{3}
22x2+3x+32x+3
3
(
2
2
+
3
)
6
+
2
(
2
+
3
)
6
\frac{3(2x^{2}+3x)}{6}+\frac{2(2x+3)}{6}
63(2x2+3x)+62(2x+3)
9
Combine fractions with common denominator
3
(
2
2
+
3
)
6
+
2
(
2
+
3
)
6
\frac{3(2x^{2}+3x)}{6}+\frac{2(2x+3)}{6}
63(2x2+3x)+62(2x+3)
3
(
2
2
+
3
)
+
2
(
2
+
3
)
6
\frac{3(2x^{2}+3x)+2(2x+3)}{6}
63(2x2+3x)+2(2x+3)
10
Distribute
3
(
2
2
+
3
)
+
2
(
2
+
3
)
6
\frac{{\color{#c92786}{3(2x^{2}+3x)}}+2(2x+3)}{6}
63(2x2+3x)+2(2x+3)
6
2
+
9
+
2
(
2
+
3
)
6
\frac{{\color{#c92786}{6x^{2}+9x}}+2(2x+3)}{6}
66x2+9x+2(2x+3)
11
Distribute
6
2
+
9
+
2
(
2
+
3
)
6
\frac{6x^{2}+9x+{\color{#c92786}{2(2x+3)}}}{6}
66x2+9x+2(2x+3)
6
2
+
9
+
4
+
6
6
\frac{6x^{2}+9x+{\color{#c92786}{4x+6}}}{6}
66x2+9x+4x+6
12
Combine like terms
6
2
+
9
+
4
+
6
6
\frac{6x^{2}+{\color{#c92786}{9x}}+{\color{#c92786}{4x}}+6}{6}
66x2+9x+4x+6
6
2
+
1
3
+
6
6
\frac{6x^{2}+{\color{#c92786}{13x}}+6}{6}
66x2+13x+6