Question

Multiply.(−3x+4)(2x−1)
Express the answer in standard form.

Answer 1

To multiply (−3x+4)(2x−1), use the distributive property to get −6x^2 + 11x − 4 as the answer in standard form.

Step-by-step explanation:

The student has asked to multiply two binomials in standard form: (−3x+4)(2x−1). To do this, we will use the distributive property, also known as the FOIL method, which stands for First, Outer, Inner, Last, to expand the product.

Step-by-Step Solution

1. Multiply the First terms: (−3x)*(2x) = −6x^2.
2. Multiply the Outer terms: (−3x)*(-1) = +3x.
3. Multiply the Inner terms: (4)*(2x) = +8x.
4. Multiply the Last terms: (4)*(-1) = −4.
5. Combine like terms: −6x^2 + 3x + 8x − 4 which simplifies to −6x^2 + 11x − 4.

The expression in standard form is: −6x^2 + 11x − 4.