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Which of the binomials below is a factor of this trinomial 15x2 + 13x - 20?

User ThommyB
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2 Answers

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15x^2 + 13x - 20

= 15x^2 + 25x - 12x - 20

= 5x(3x + 5) - 4(3x + 5)

= (5x - 4)(3x + 5)
User Matt Whitfield
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Answer:

binomial (5x -4)(3x +5) factor of trinomial.

Explanation:

Given : 15x² + 13x - 20.

To find : Which of the binomials below is a factor of this trinomial.

Solution : We have given

Trinomial : 15x² + 13x - 20.

On factoring

15x² + 25x - 12x - 20.

5x( 3x +5) - 4 (3x +5)

On grouping

(5x -4)(3x +5)

These two binomial (5x -4)(3x +5) factor of trinomial.

Therefore, binomial (5x -4)(3x +5) factor of trinomial.

User Dorian Roy
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