Please help. Polynomial question
1 answer:
Answer:
Therefore the Difference is
Step-by-step explanation:
Vertical Format to Subtract
Given
4x² - 5x + 7
- (6x² + 2x - 4)
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- - + ....... Sign will change for Subtraction
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∴ -2x² - 7x + 11 ....... As Required
------------------------------
Therefore the Difference is
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Answer:
Step-by-step explanation:
There are 3 ways to find the other x intercept.
1) Polynomial Long Division.
Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.
2) Just solving for x when y = 0, by using the quadratic formula.
.
So the other x - intercept is at (1, 0)
3) Using Vietta's Theorem regarding the solutions of a quadratic
Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.
And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.
These relations between the solutions give us a brief idea of what the solutions should be like.