Question

(x² − 7)(x² − 3x + 5)
multiply polynomial pleaseeeee

Answer 1

the answer simplified is = x^4−3x^3−2x^2+21x−35

Answer 2

x⁴ - 3x³ - 2x² + 21x - 35

Explanation:

To multiply the polynomials (x² - 7) and (x² - 3x + 5), you can use the distributive property, also known as the FOIL method.

FOIL stands for "First, Outer, Inner, Last."

Here's how we can multiply these two polynomials step by step:

First, distribute the first term in the first polynomial (x²) to all terms in the second polynomial:

(x² - 7)(x² - 3x + 5) = x²(x²) + x²(-3x) + x²(5)

Now, distribute the second term in the first polynomial (-7) to all terms in the second polynomial:

(x² - 7)(x² - 3x + 5) = x²(x²) + x²(-3x) + x²(5) - 7(x²) - 7(-3x) - 7(5)

Next, multiply the terms together:

x⁴ - 3x³ + 5x² - 7x² + 21x - 35

Now, combine like terms by adding or subtracting the terms with the same exponent:

x⁴ - 3x³ - 7x² + 5x² + 21x - 35

x⁴ - 3x³ - 2x² + 21x - 35

So, the product of (x² - 7) and (x² - 3x + 5) is:

x⁴ - 3x³ - 2x² + 21x - 35