Question

If a and B are zeroes of the polynomial p(x) = 3x² - 10x + 7 , find the value of a² + b²​

Answer 1

Answer:

6.4

Step-by-step explanation:

Given : $3x^{2} -10x+7$

Looking for : $a^{2} +b^{2}$ =?

Since the coeffienct is not 1, you would have to use a different method.

I used the slide, multiply and divide method.

Slide 3 to 7 and multiply to get 21: $3x^{2} -10x+21$

Then factor normally: (x - 7)(x - 3)

Now use the divide portion of the method and divide 7 and 3 by 3, if you get a fraction that doesn't simply, then move the 3 to the front: $(3x-7)(x-1)$

Solve for your zeros: a = $\frac{7}{3}$ & b = 1

Place them into the equation:  $\frac{7}{3} ^{2}+ 1^{2}$ = $\frac{58}{9}$ = 6.4