Answer:
1 and - 1
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope ( gradient ) )
y = x ← is in this form
with gradient m = 1
Parallel lines have equal gradients
Then the gradients of lines parallel to the given line is 1
Given a line with gradient m then the gradient of a line perpendicular to it is
= -
= -
= - 1
Then the gradients of lines perpendicular to this line is - 1
Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The polynomial is x³- 7x² - 6x + 72.
<h3>What is a polynomial?</h3>Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
The polynomial using the given information can be made as shown below.
Given the zeros of the polynomial are -3, 4, and 6.
P(x) = (x+3)(x-4)(x-6) = x³- 7x² - 6x + 72
To check the end behaviour of the function, the graph of the function can be plotted as shown in the below image.
Hence, the polynomial is x³- 7x² - 6x + 72.
Learn more about Polynomials:
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