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Alex_Xolod [135]
3 years ago
11

Factorise 12x^3-4x^2

Mathematics
1 answer:
Kobotan [32]3 years ago
5 0
You factor out the number of common x's and the common number 4.

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Factor the polynomial and use the zeros to identify its graph. x4 − 5x3 − 20x2 + 60x + 144
Monica [59]

The zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

<h3>How to factor the polynomial?</h3>

The polynomial is given as:

P(x) = x^4 - 5x^3 - 20x^2 + 60x + 144

Expand the polynomial function

P(x) = x^4 - 10x^3 + 5x^3 + 24x^2 - 50x^2 + 6x^2 + 120x - 60x + 144

Rewrite the function as:

P(x) = x^4 - 10x^3 + 24x^2 + 5x^3 - 50x^2 + 120x + 6x^2 - 60x + 144

Factorize the function

P(x) = x^2(x^2 - 10x + 24) + 5x(x^2 - 10x + 24) + 6(x^2 - 10x + 24)

Factor out x^2 - 10x + 24

P(x) = (x^2 + 5x + 6)(x^2 - 10x + 24)

Expand each bracket

P(x) = (x^2 + 3x + 2x + 6)(x^2 - 4x - 6x + 24)

Factorize each bracket

P(x) = [x(x + 3) + 2(x + 3)][x(x - 6) - 4(x - 6)]

Factor out x + 3 and x - 6

P(x) = (x + 3)(x + 2)(x - 4)(x - 6)

Set to 0

(x + 3)(x + 2)(x - 4)(x - 6) = 0

Solve for x

x =-3, -2, 4 and 6

Hence, the zeros of the polynomial are -3, -2, 4 and 6 and the graph of the polynomial is graph (a)

Read more about polynomials at:

brainly.com/question/20896994

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A recipe for 16 banana dash nut muffins calls for 1 cup of flour. The number of muffins that can be made varies directly with th
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Answer: 32 muffins can be made

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57.4 because u add all the side up and u get a answer
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Cherries cost $5 for two pounds and $7.50 for 3 pounds. a. What is the cost per pound? b. Is it constant? c. If you were to grap
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It is Constant. The cost per pound is 2.50 dollars. two would be on the x-axis, and 5 dollars would be on the y-axis. likewise, 3 would be on the x-axis, and 7.50 dollars is on the y-axis. 5 pounds would cost : $12.50
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