A school is installing a flagpole in the central plaza. The plaza is a square with side length 100 yards as shown in the figure below. The flagpole will take up a square plot in the middle of the plaza and its base will have an area of x2−10x+25 yd2.   Area of the flagpole plot: x2−10x+25Find the length of the base of the flagpole by factoring. (Hint: Because the area of the flagpole is an expression that involves the variable x, the length of the base will also involve the variable x.)

Q: Factor the polynomial. 3x2 - 4x + 2

A: Given that : The polynomial is 3x2 - 4x + 2.

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A: Factors are given below

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Q: Q1 If the cubic trinomial 3 – 9x2+ 108 can be factored to (x + 3)y², what is y in terms of x?

A: Please refer the attached image for complete solution.

Q: Factor the polynomial:  3x2 +18x +27

A: Given,

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A:

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A:

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A:

Q: Factor the difference of cubes x-27. (x+3)(x² – 3x +9) (x+3)(x² +3x+9) (x-3)(x² +3x+9) (x-3)(x²…

A: To Factor the difference of cubes:- By using cube identities,

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Q: What is the factored form of 36y + 12y+ 1?

A:

Q: When we factor the sum or difference of cubes, x³ ± y', is the factor (x² xy + y³) ever factorable…

A:

Q: What is the factored form of y² – 6y + 8?

A:

Q: 5s + 6t?

A:

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Q: Factor the trinomial. 70. x + 4x – 5 72. 6y + 1ly – 21 Пу - 21 74. 5x? – 7x – 6

A:

Q: Find the values of c and d if the trinomial x2 + 10x + c can be factored as (x + d)?

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A:

Q: 4. x2 - 2x- 15

A:

Q: x² -8x + 15

A:

Q: Factor this polynomial by grouping. 3d + 6 + de + 2e

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A: topic - trinomial

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A:

Q: Factor: 2x3 + 20x? + 42x

A:

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Q: a. What is the factored form of 9x6 + 15x4 +12x2?

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Q: Find all integers b so that the trinomial can be factored : x2 + bx + 15

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A:

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A:

Q: If p(x)= 3x +6x-2, find p(a + 1). p(a + 1) =|(Simplify your answer. Do not factor.)

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Q: Factor the polynomial. 12x2 - 29x + 15

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