Answer:
- left box: 25/36
- right box: 5/6
Step-by-step explanation:
If you square the binomial (x -a), you get ...
(x -a)² = x² -2ax +a²
Comparing this to your equation, you find that ...
-2a = -5/3 . . . . . . the x-coefficient
a = (1/2)(5/3) = 5/6
So, the number in the right box is 5/6, and the number in the left box is its square, (5/6)² = 25/36.
Filling these in, the equation reads:
x² -5/3x +25/36 = (x -5/6)²
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That is, the constant in the squared binomial is half the x-coefficient.
Answer: 2(2x+3)/(x+1)(x+2)
Answer:
Step-by-step explanation:
The function is f(x) = -4x²+10x-8
Let Δ be our the dicriminant
- Δ= b²-4ac
- b = 10
- a = -4
- c = -8
- Δ = 10²-4*(-4)(-8)
- Δ = 100-128
- Δ = -28
The value of the discriminant is -28 and since it is negative this function has no real zeroes
Answer:
∴(x+5)(x+3) =x²+8x+15
Step-by-step explanation:
Standard form of a polynomial:
Standard of polynomial means that the terms ordered from biggest exponent of variable to lowest exponent of variable.
Example:
Given,
(x+5)(x+3)
=x(x+3)+5(x+3)
=x²+3x+5x+15
=x²+8x+15
∴(x+5)(x+3) =x²+8x+15
The degree of the polynomial is 2 and is a one variable polynomial.
