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trapecia [35]
3 years ago
5

Help!! To factor the polynomial 25x^2 +15x - 4, find two numbers whose product is _ and whose sum is _.

Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Compare given polynomial 25x^2 +15x - 4 with quadratic polynomial

ax^2+bx+c, we get:

a=25, b=15, c=-4

Step1: find product of a and c which is 25*-4= -100

Step2: find two numbers whose product is ac and sum is b that is product is -100 and sum is 15

We see that 20 and -5 satisfy condition of step2.

Step3: Break middle term of 25x^2 +15x - 4 into two parts -100x and +15x then proceed factor by grouping.

25x^2 +15x - 4

=25x^2 +20x -5x- 4

=5x(5x+4) -1(5x+4)

=(5x-1)(5x+4)

Hence final answer is (5x-1)(5x+4).

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Answer:

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Step-by-step explanation:

Given that a segment has endpoints at (1, -2). The midpoint is at (-4, -2).

Now we need to find about what are the coordinates of the other endpoint.

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