Name each term of the polynomial : (–9x^4)+(y^3)–7y+19
1 answer:
Answer:
are the terms of the polynomial.
Step-by-step explanation:
A polynomials is an expression with many terms. Terms are each piece separated by addition or subtraction. They include variables, coefficients and constants.
This polynomial has a quartic term with degree 4, a cubic term with degree 3, a linear term with degree 1 and a constant.
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Write the vertex form of the equation and find the necessary coefficient to make it work.
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2
You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1
The equation you seek is
.. y = x^2 +6x +7
.. y = a*(x +3)^2 -2
.. = ax^2 +6ax +9a -2
You require the y-intercept to be 7. So, for x=0, you have
.. 9a -2 = 7
.. 9a = 9
.. a = 1
The equation you seek is
.. y = x^2 +6x +7