Posted by **Bridget** on Tuesday, May 5, 2009 at 10:40pm.

Multiply.

1) (3t^2 - 2t - 4) * (5t + 9)

Writing.

1) Explain why the product of a quadratic polynomial and a linear polynomial must be a cubic polynomial.

- 8th Grade Algebra -
**RickP**, Tuesday, May 5, 2009 at 11:35pm
(3t^2 - 2t - 4) * (5t + 9)

Multiply each term in one set of parentheses by each term in the other set of parentheses.

3t^2(5t + 9) - 2t(5t + 9) - 4(5t + 9)

15t^3 + 27t^2 - 10t^2 - 18t - 20t - 36

combine like terms

15t^3 + (27t^2 - 10t^2) + (- 18t - 20t) - 36

15t^3 + 17t^2 -38t - 36

A quadratic has a power of 2 as its highest exponent, and a linear has a power of 1 as its highest exponent. When those highest exponents are multiplied together, they will result in a highest exponent of 2 + 1 = 3.

## Answer this Question

## Related Questions

- Maths - true/false 1. a cubic polynomial has at least one zero.............. 2. ...
- Math - The function f(x) = x^2 -2x + x^1/2 is: A. A polynomial because it is ...
- math - The graph of a second-order polynomial is shown below, and the intercepts...
- math - Look at this trinomial 32a^4 + 18a^3 - 12a Write the polynomial as the ...
- Math:Polynomial Functions - h(x) = -7x I was thinking that this was not a ...
- zeros of a polynomial - polynomial is x^3 - x^2 -11x + 15 If 3 is the zero of ...
- math,correction - Can someone correct these for me please.. Find the value of ...
- 8th Grade Algebra - Rewrite each polynomial as the product of two binomials. 1. ...
- algebra - can some one please help figure this problem out Determine whether ...
- algebra - can some one please help figure this problem out Determine whether ...

More Related Questions