Factor out the GCF from the polynomial.
x Superscript 7 Baseline plus 3 x Superscript 6
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Part 1
x Superscript 7 Baseline plus 3 x Superscript 6 Baseline equals
enter your response here (Type your answer in factored form.)
The GCF (greatest common factor) of the terms x^7 and 3x^6 is x^6.
Factoring out x^6 from the polynomial x^7 + 3x^6 gives:
x^6(x + 3)
Factor out the GCF from the polynomial.
a Superscript 6 Baseline b Superscript 5 Baseline minus a Superscript 4 Baseline b cubed plus a cubed b Superscript 7 Baseline minus a cubed b cubed
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Part 1
a Superscript 6 Baseline b Superscript 5 Baseline minus a Superscript 4 Baseline b cubed plus a cubed b Superscript 7 Baseline minus a cubed b cubed equals
enter your response here
(Type your answer in factored form.)
The GCF (greatest common factor) of the terms a^6b^5, -a^4b^3, a^3b^7, and -a^3b^3 is a^3b^3.
Factoring out a^3b^3 from the polynomial a^6b^5 - a^4b^3 + a^3b^7 - a^3b^3 gives:
a^3b^3(a^3b^2 - ab + b^4 - 1)
Factor a negative number or a GCF with a negative coefficient from the polynomial.
negative 6 a Superscript 4 Baseline plus 6 a cubed minus 3 a squared
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Part 1
negative 6 a Superscript 4 Baseline plus 6 a cubed minus 3 a squaredequals
enter your response here (Factor completely.)
The GCF (greatest common factor) of the terms -6a^4, 6a^3, and -3a^2 is -3a^2.
Factoring out -3a^2 from the polynomial -6a^4 + 6a^3 - 3a^2 gives:
-3a^2(2a^2 - 2a + 1)
Find the area of the triangle.
6 x
left parenthesis 4 x minus 3 right parenthesis
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Part 1
enter your response here sq in.
To find the area of a triangle, we need to know the base and height. The expression 6x(4x - 3) does not give us enough information to determine the base and height of the triangle. Please provide additional information or clarify how the expression relates to the triangle in order to calculate the area.
6x=height
(4x-3)=base
To find the area of a triangle, we can use the formula:
Area = (base * height) / 2
Given that 6x is the height and (4x - 3) is the base, we can substitute these values into the formula:
Area = [(4x - 3) * 6x] / 2
Simplifying the expression:
Area = (24x^2 - 18x) / 2
= 12x^2 - 9x
= 3x(4x - 3)
Therefore, the area of the triangle is 3x(4x - 3) square units.