Question

Multiply.Express your answer in standard form.(3 points)(x² -4x + 3)(-3x²+ 7x –1)

Answer 1

Answer:

-3x^{4} + 19x^{3} - 38x^{2} + 25x - 3

Step-by-step explanation:

1) distribute x² into (-3x² + 7x - 1) to get: -3x^{4} + 7x³ - x²

2) distribute -4x into (-3x² + 7x - 1) to get: 12x³ - 28x + 4x

3) distribute 3 into (-3x² + 7x - 1) to get: -9x² + 21x - 3

4) combine all the answers together into one equation:

-3x^{4} + 7x³ - x² + 12x³ - 28x² + 4x - 9x² + 21x - 3

5) combine like terms:

7x³ + 12x³ = 19x³

-x² + -28x² + -9x² = -38x²

4x + 21x = 25x

6) combine answers together into one equation:

-3x^{4} + 19x³ - 38x² + 25x - 3