Question

Drag the correct factors to the expression. Not all factors will be used. Use synthetic division to find all the factors of this polynomial.

Answer 1

The factors are therefore;  (4x – 3), (x + 3) and (x – 1)

What is a polynomial?

A polynomial is is a function that contains an algebraic term which is raised to a particular power.

• If it is raised to power 1 it is linear
• If it is raised to power 2 it is quadratic
• If its is raised to power 3 it is cubic
• If it i raised to power 3 it is quartic

Now we have;

4x³ + 5x² – 18x + 9

Thus we can write;

4x³ – 3x² + 8x² – 6x – 12x + 9

Using the factors;

x²(4x – 3) + 2x(4x² – 3) – 3(4x – 3)

Therefore;

(4x – 3)(x² + 2x– 3)

(4x – 3)(x² + 3x – x – 3)

(4x – 3)(x + 3)(x – 1)

The factors are therefore;  (4x – 3), (x + 3) and (x – 1)

Learn more about polynomials:brainly.com/question/21334281

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