Please help me answer this question Brenda is stumped when it comes to graphing polynomials. She believes that the degree of the polynomial (eg. the polynomial 3x4−3x3+2x+73x4−3x3+2x+7 is degree 4) indicates how many factors the polynomial has and therefore, how many real zeros (also known as x-intercepts) it has. Explain the errors within this thinking and provide 3 counterexamples to help support your explanation.

Please help me answer this question Brenda is stumped when it comes to graphing polynomials. She believes that the degree of the polynomial (eg. the polynomial 3x4−3x3+2x+73x4−3x3+2x+7 is degree 4) indicates how many factors the polynomial has and therefore, how many real zeros (also known as x-intercepts) it has. Explain the errors within this thinking and provide 3 counterexamples to help support your explanation.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter8: Polynomials

Section8.7: Factoring Special Products

Problem 45PPS

See similar textbooks

Similar questions

For the polynomial 8y43y2+1 (a) Is it a monomial, binomial, or trinomial? (b) What is its degree?
What does it mean to say a polynomial is in factored form?
Use the Factor Theorem to find the zeros of f(x)=x3+4x24x16 given that (x2) is a factor of the polynomial.
(a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.
Explain why the Rational Zero Theorem does notguarantee finding zeros of a polynomial function.
If we divide the polynomial P by the factor xc and we obtain the equation P(x)=(xc)Q(x)+R(x), then we say that xc is the divisor, Q(x) is the _________, and R(x) is the ________.