The graph of the quadratic polynomial -x2+ x + 90 will open upwards.a)...
The quadratic polynomial -x^2 + x + 90 will open upwards.Explanation:
To determine whether the graph of a quadratic polynomial opens upwards or downwards, we can examine the leading coefficient of the polynomial.
The general form of a quadratic polynomial is given by: ax^2 + bx + c
In this case, the polynomial is -x^2 + x + 90.
Leading Coefficient
The leading coefficient is the coefficient of the highest power of x, which is the coefficient of x^2. In this case, the leading coefficient is -1.
Sign of Leading Coefficient
If the leading coefficient is positive (greater than 0), then the graph of the quadratic polynomial opens upwards.
If the leading coefficient is negative (less than 0), then the graph of the quadratic polynomial opens downwards.
Analysis
In this case, the leading coefficient is -1, which is negative. Therefore, the graph of the quadratic polynomial -x^2 + x + 90 opens downwards, not upwards.
Conclusion
The statement "The graph of the quadratic polynomial -x^2 + x + 90 will open upwards" is false.