The function p(x) is a polynomial. If p(–9)=–10 and p(–2)=–7, can you conclude that p(x) is ever equal to 0?
Question
The function p(x) is a polynomial. If p(–9)=–10 and p(–2)=–7, can you conclude that p(x) is ever equal to 0?
Solution
No, we cannot conclude that p(x) is ever equal to 0 based on the given information. The values p(-9) = -10 and p(-2) = -7 only tell us the values of the polynomial at these specific points. They do not provide information about the entire function or its roots. To determine if p(x) = 0 for some x, we would need more information about the polynomial, such as its degree and coefficients, or additional points.
Similar Questions
The table below shows certain values of p(x) on the interval [2,14].x p(x)2 66 910 1014 7If p(x) is a polynomial, can you conclude that the equation p(x)=0 has a solution?
The function q(x) is a polynomial. If q(–12)=–3 and q(–8)=3, can you conclude that q(x) is ever equal to 0?
zeroes of P(x)= x
The table below shows certain values of q(x) on the interval [–19,2].x q(x)–19 4–12 7–5 102 10If q(x) is a polynomial, can you conclude that the equation q(x)=0 has a solution?
The graph of a polynomial P(x) is as shown. The number of zeroes is/are
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.