MediumMathematicsHigh School (9–10)GeneralAlgebra › PolynomialsConceptual

Write the degree of each polynomial, and say whether it is linear, quadratic, cubic or a constant.

Contributed by StemPy Lab

Try it on paper first. A hint, the key idea and the worked solution are here when you need them.

$9 - 4x$

$3x^3 + x^2$

$-12$

$t^2 - 6$

Need a reminder? The key ideaShow

A polynomial in $x$ has only whole-number powers of $x$ . Its degree is the highest power, and the coefficients are the numbers in front of the powers. The value $p(a)$ is found by putting $x = a$ .

The worked solution

Have you tried it?

Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

← All Problems

← Which of these are polynomials in x? 3x² - √5 x; x^(1/3) + 1; 2/x² + x; -8; (x + 1)(x - 4); √(x³)For p(x) = 6x⁴ - x³ + 8x - 3, write the coefficient of x³, the coefficient of x², the constant term… →

More onAlgebra › Polynomials

Discussion (0)

Loading…

Write the degree of each polynomial, and say whether it is linear, quadratic, cubic or a constant.

The worked solution

Discussion (0)

Want to go further in Algebra › Polynomials?