The sum is 4x³ + 3x² + 2x – 6.
Solution:
The correct question is given below.
(4x³ – 2x² + 3x – 1) + (5x² – x – 5). What is the sum?
<u>To find the sum of the polynomial:</u>
Sum of (4x³ – 2x² + 3x – 1) and (5x² – x – 5)
= (4x³ – 2x² + 3x – 1) + (5x² – x – 5)
Remove the parentheses.
= 4x³ – 2x² + 3x – 1 + 5x² – x – 5
Group like terms together.
= 4x³ – 2x² + 5x² + 3x – x – 1 – 5
Add the similar elements. i.e the element with same power.
= 4x³ + 3x² + 2x – 1 – 5
Subtract the constant terms.
= 4x³ + 3x² + 2x – 6
The sum is 4x³ + 3x² + 2x – 6.
Step-by-step explanation:
f(x) = -16x² + 22x + 3
Factor:
f(x) = (8x + 1) (-2x + 3)
The x-intercepts are (-1/8, 0) and (3/2, 0).
The leading coefficient is negative, so the parabola points down. Therefore, the vertex is a maximum. The x-coordinate is halfway between the x-intercepts.
x = (-1/8 + 3/2) / 2
x = 11/16
f(11/16) = 169/16
So the vertex is at:
(11/16, 169/16)
Graph the x-intercepts and the vertex, then draw a curve through the 3 points.
Answer:
12x+14
Step-by-step explanation:
5x+5(2x+2)+7
5x+7x+7+7
12x+7+7
12x+14