Maths-

General

Easy

Question

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

(2𝑥 − 5) (−3𝑥^{2} + 4𝑥 − 7)

## The correct answer is: -6x3 + 23x2 - 34x + 35.

### Answer:

- Given:

(2x - 5) (-3x^{2} + 4x - 7)

- Step 1:

- Step 2:

Add all terms:

(-6x^{3} + 8x^{2} - 14x + 15x^{2} - 20x + 35)

= -6x^{3} + 23x^{2} - 34x+ 35

Hence,

(2x - 5) (-3x^{2} + 4x - 7) = -6x^{3} + 23x^{2} - 34x+ 35

- Final Answer:

-6x^{3} + 23x^{2} - 34x+ 35.

- Given:

^{2}+ 4x - 7)

^{3}+ 8x

^{2}- 14x + 15x

^{2}- 20x + 35)

^{3}+ 23x

^{2}- 34x+ 35

Hence,

^{2}+ 4x - 7) = -6x

^{3}+ 23x

^{2}- 34x+ 35

^{3}+ 23x

^{2}- 34x+ 35.

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