Answer: (2x – 7) (3x^3 – 2x – 5)
SOLVINGS
Given the polynomial f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case,
The Leading Coefficient is 6
The Trailing Constant is -35.
Factors of the Leading Coefficient are 1, 2, 3 and 6
Factors of the Trailing Constant are 1, 5, 7, and 35
Testing for the rational roots,
If P= 7 and Q = 2
P/Q = 3.5
F (P/Q) = 0.00
Using the Factor Theorem; which states that if P/Q is root of a polynomial then this polynomial can be divided by Q.x – PTherefore, the polynomial 6x^4 – 21x^3 – 4x^2 + 24x – 35 is divisible by 2x –
7
Factorizing 2x – 7
Divide the polynomial into two groups (6x^4 – 21x^3 and – 4x^2 + 24x – 35)
Factorizing Group 1
6x^4 – 21x^3 divided by 2x – 7 = 3x^3
∴ 6x^4 – 21x^3 = 3x^3 (2x – 7) ….. (Group 1)
Factorizing Group 2
– 4x^2 + 24x – 35 divided by 2x – 7 = -2x+5
∴ 4x^2 + 24x – 35 = (-2x+5)(2x – 7) ….. (Group 2)
Bringing together Groups 1 and 2
6x^4 – 21x^3 – 4x^2 + 24x – 35 = (2x – 7) (3x^3 – 2x – 5)
Answer:
Step-by-step explanation:
we have
This is the equation of a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
The equation of a vertical parabola into vertex form is
where
(h,k) is the vertex of the parabola
Convert the equation into vertex form
Move the constant term to the left side
Complete the square
Rewrite as perfect squares
therefore
The vertex is the point (-1,-6)
The answer is D. 1.601 * 10^9
There could be 2 committes. 10 divided by 5 equals 2
Answer:
(d-3)/2
Step-by-step explanation:
Difference is subtraction
(d-3)/2
