SOLUTION: Find a polynomial function with least positive degree and having integral coefficients whose roots are √2 and -4, and whose y-intercept is 16?
I have no idea what integral coe
Algebra.Com
Question 1140806: Find a polynomial function with least positive degree and having integral coefficients whose roots are √2 and -4, and whose y-intercept is 16?
I have no idea what integral coefficients are and what to do with the roots. :(( I tried looking up similar problems online but I failed to see any.
Answer by josgarithmetic(39625) (Show Source): You can put this solution on YOUR website!
Roots are , and . Wanting INTEGER coefficients, another root should be .
-
Next, you want to use the given point of the graph, (0, 16), to solve for the leading coefficient, "a".
You will want to finish your function as polynomial in descending order of degree.
RELATED QUESTIONS
write a polynomial function of least degree with integral coefficients having roots (... (answered by josgarithmetic)
Write a polynomial function of least degree with integral coefficients whose zeros... (answered by fractalier)
Write a polynomial function of least degree with integral coefficients whose zeros... (answered by richwmiller)
Find the polynomial equation, P(x)=0, of the least possible degree, with integral... (answered by Edwin McCravy)
Find a cubic function with integral coefficients having (4 + 3i) and -3 as... (answered by tommyt3rd)
Find a 3rd degree polynomial with integral coefficients that has 2 +i and -3 as two of... (answered by josgarithmetic)
Find a polynomial function with real coefficients and least degree having zeros 2-i, 3... (answered by josmiceli)
Find the quadratic equation with integral coefficients whose roots are -7/2 and... (answered by josgarithmetic)
Find a polynomial function f(x) of least degree having only real coefficients and zeros... (answered by ikleyn)