Help!! To factor the polynomial 25x^2 +15x - 4, find two numbers whose product is _ and whose sum is _.
1 answer:
Compare given polynomial
with quadratic polynomial
, 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
into two parts -100x and +15x then proceed factor by grouping.
![25x^2 +15x - 4](https://tex.z-dn.net/?f=%2025x%5E2%20%2B15x%20-%204%20)
![=25x^2 +20x -5x- 4](https://tex.z-dn.net/?f=%20%3D25x%5E2%20%2B20x%20-5x-%204%20)
![=5x(5x+4) -1(5x+4)](https://tex.z-dn.net/?f=%20%3D5x%285x%2B4%29%20-1%285x%2B4%29%20)
![=(5x-1)(5x+4)](https://tex.z-dn.net/?f=%20%3D%285x-1%29%285x%2B4%29%20)
Hence final answer is
.
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25%.......................................
I think by p, you mean x.
x-4=9
move the four
x=13
Answer:
1/9
Step-by-step explanation:
(1/3)^2 = 1/3 x 1/3 =1/9
plus I checked the answer after I got it wrong so...
No answer because u can’t take a square root of a negative number