Maths-

General

Easy

Question

# Use the table method to multiply a binomial with a trinomial.

(−3𝑥^{2} + 1) (2𝑥^{2} + 3𝑥 − 4)

## The correct answer is: -6x4 – 9x3 + 14x2 +3x-4

### Answer:

- Given:

(-3x^{2} + 1) (2x^{2} + 3x - 4)

- Step 1:

- Step 2:

Add all terms:

(-6x^{4} – 9x^{3} + 12x^{2} + 2x^{2} + 3x – 4)

= -6x^{4} – 9x^{3} + 14x^{2 }+3x-4

Hence,

(-3x^{2} + 1) (2x^{2} + 3x – 4) = -6x^{4} – 9x^{3} + 14x^{2 }+3x-4

- Final Answer:

-6x^{4} – 9x^{3} + 14x^{2 }+3x-4

- Given:

^{2}+ 1) (2x

^{2}+ 3x - 4)

^{4}– 9x

^{3}+ 12x

^{2}+ 2x

^{2}+ 3x – 4)

^{4}– 9x

^{3}+ 14x

^{2 }+3x-4

Hence,

^{2}+ 1) (2x

^{2}+ 3x – 4) = -6x

^{4}– 9x

^{3}+ 14x

^{2 }+3x-4

^{4}– 9x

^{3}+ 14x

^{2 }+3x-4

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